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2026, Volume 34, Issue 08
- 1-8 Statistical Analysis And Topological Property Of A Class Of Fractal Networks
by Jia-Bao Liu & Kang Wang & Xuesong Zhai - 1-9 Numerical And Theoretical Simulation For The Carbon Absorption-Emission Model In Its Fractional Form Using An Efficient Numerical Technique
by M. M. Khader & M. Adel & Hijaz Ahmad & I. Alraddadi & A. A. Binsultan & W. M. Abdelfattah - 1-12 An Improved Design Of Substitution Box Based On Chaos And An Algebraic Function
by Aaminah Shahid & Shabieh Farwa & Mohra Zayed & Gamal M. Ismail - 1-13 A New ℱα-Type Integrable Functions And Retarded Fractal Differential Equations
by Mohammad Sajid & Hemanta Kalita & Abhishikta Das - 1-13 Leveraging Deep Learning Transfer Models For Automatic Detection Of Colonic Tumors From Ct Colonography
by Mohammed A. Alharbi & Mohammed Sallah & Ghada A. Khouqeer & Roxana Rusu-Both & Ahmed Elgarayhi - 1-13 Exploring The Interaction Between Circadian Rhythm And Autophagy In Bone Remodeling Through Text Mining
by Haseena Noureen & Jamil Ahmad & Fahad Algarni - 1-14 Monic Chebyshev’S First Derivative Pseudo-Galerkin Method For Solving Linear And Nonlinear Ibvps: Real-Life And Physical Applications
by Hager Alaa-Eldeen & Gaitha M. Alzabeedy & Weam G. Alharbi & Mamdouh El-Kady & Yeliz Karaca & Mohamed Abdelhakem - 1-15 Modeling And Forecasting Two-Strain Disease Amplification Dynamics Using Machine Learning Approaches
by Ateq Alsaadi - 1-15 Controllability Of The Time-Varying Fractional Dynamical Systems Having Multiple Delyas In Control With Caputo Fractional Derivative
by K. S. Vishnukumar & S. M. Sivalingam & V. Govindaraj & Berna Uzun & Ilker Ozsahin & Hijaz Ahmad & Taha Radwan - 1-18 Investigation Of Solitary And Kink Wave Solutions For The Conformable Concatenation Model With Spatio–Temporal Dispersion And Chromatic Dispersion
by Mohammed Alabedalhadi & Asad Frihat & Mohammed Al-Smadi & Shrideh Al-Omari & Amra Al Kenany - 1-18 An Innovative Numerical Approach For Two-Term Time-Fractional Diffusion Wave Equation
by Khadija Shahzadi & Shno Othman Ahmed & Amal Alshabanat & Sadia Saeed & Umair Ali & Sanaullah Mastoi - 1-19 Analysis Of A Fractional Order Model For The Interaction Between Growth And Crowding Of Tumor Stem Cells Via Caputo Fractional Derivatives
by Mohammed Alabedalhadi & Wael Salameh & Shrideh Al-Omari & Yeli̇z Karaca & Mohammed Al-Smadi & Dumitru Baleanu & Shaher Momani - 1-20 A Comprehensive Qualitative Analysis Of A Novel Ebola Virus Disease
by Imtiaz Ahmad & Nahid Fatima & Farhad Hussain & Nigar Ali & Zahid Ullah & Sadique Ahmad & Naveed Ahmad - 1-21 Generalized Class Of Analytic Functions Using ℘-Gamma Fractional Operators Of A Complex Variable
by Rabha W. Ibrahim & Saiful Rahman Mondal & Yeli̇z Karaca & Soheil Salahshour - 1-21 Qera: A Quantum Economic Risk Assessment Framework For Blockchain Cryptographic Infrastructure
by Babu Pillai & Aravinda S. Rao & Narayana Madineni & Yeli̇z Karaca & Elizabeth Chang - 1-22 Highlighting Complex Uncertainties In An Sirs-Infection Spreading System
by Abdulwasea Alkhazzan & Hadeel Bin Amer & Rabia Latif & Wafa F. Alfwzan & Hasib Khan - 1-23 Deciphering The Role Of Clock Genes In Osteoporosis Pathways Using Hybrid Petri Net Modeling
by Haseena Noureen & Jamil Ahmad & Fahad Algarni & Aftab Ali Shah - 1-24 Optimal Existence And Solitary Wave Structure Of Gierer–Meinhardt Activator–Substrate Model
by Muhammad Shahzad & Muhammad Zafarullah Baber & Rukhshanda Anjum & Nauman Ahmed & Ali Akgül & Fahad Sameer Alshammari & Naveed Shahid & Muhammad Sajid Iqbal - 1-24 Significance Of Fractal Interfacial Layer And Nanoparticle’S Radius On The Dynamics Of Nanofluids Flow Via Channel Of Porous Walls
by Qadeer Raza & Xiaodong Wang & M. Zubair Akbar Qureshi & Shehla Siddique & Imran Siddique & Bagh Ali & Hijaz Ahmad & Taha Radwan - 1-25 Techno-Economic Pathways Modeling And Nonlinear Optimized Seea-Roi Longitudinal Dynamic Simulation For Decarbonizing Australian Heavy Transportation Systems
by Gaurav Singh & Elizabeth Chang & Yeli̇z Karaca - 1-49 EDITORIAL ARTICLE OF SPECIAL ISSUE: PART I–B SERIES MATHEMATICAL MODELING OF COMPLEX SYSTEMS: FRACTALS–FRACTIONAL–ITÔ–DEs–WAVELET–ENTROPY–AI–BASED THEORIES, ANALYSES AND APPLICATIONS
by Yeli̇z Karaca & Dumitru Baleanu & Yu-Dong Zhang & Osvaldo Gervasi & Majaz Moonis
2026, Volume 34, Issue 07
- 1-3 Erratum: STRUCTURAL DYNAMICS WITHIN THE EVOLUTION OF THE COMPLEX SYSTEMS THROUGH CHAOS PECULIARITIES WITH QUANTUM STATISTICAL PERSPECTIVE
by Ghulam Bary & Waqar Ahmed & Riaz Ahmad & A. B. Albidah & Wasif Ali & Juxiang Shao & Duohui Huang & Wei Sin Koh & Hala H. Taha & Ilyas Khan - 1-5 The Modified Variational Principles Of The Fractal Rosenau–Burgers Equation
by Yan-Hong Liang & Kang-Jia Wang - 1-7 The Edge-Wiener Index Of Fractal Networks: A Study On The Level-3 Sierpinski Triangle
by Qin Wang & Kai Zhang & Wenyan Jin - 1-7 Dimension Of Fibonacci Network
by Jingjing Chen & Shihao Liu & Qin Wang - 1-10 Error Vector Magnitude And Bit Error Rate Performance Analysis In The B5g Uplink Channel
by Sergio Vidal-Beltrán & Marco Antonio Acevedo-Mosqueda & Luis Manuel Rodríguez-Méndez - 1-10 HAUSDORFF STEINER k-DIMENSION ON FRACTAL NETWORKS
by Zixuan Zhao & Cheng Zeng & Yumei Xue & Dehui Wang - 1-11 Numerical Analysis Of A Fractional Rotating Pendulum Oscillator
by Lin Jin & Shaowei Shen & Junfeng Lu & Lei Chen & Shuhuai Li - 1-11 Scientific Machine Learning With Convolutional Neural Networks To Prevent Contagion In Pandemic Times
by Ricardo Carreño Aguilera & Marco Antonio Acevedo Mosqueda & Maria Elena Acevedo Mosqueda & Daniel Rodriguez Saldaña - 1-12 Research On Approximate Solutions Of Nonlinear Conformable Fractional Differential Systems
by Yongfang Qi & Guoping Li - 1-12 Analysis Of Solute Transport In Finite Soil Columns Using Fractional-Order Model And Spectral Collocation Method
by Anup Singh & Hossein Jafari & Ali Reza Moniri Hamzekolaee - 1-13 Fractal Analysis Of Dimensionless Permeability Of Spherical Particles In Porous Media With Randomly Damaged Distributed Tree-Like Branching Networks Considering The Influence Of Roughness
by Jiacheng Zhang & Boqi Xiao & Lei Chen & Yu Yang & Ruotong Lv & Wenjie Chen & Xing Chen & Zheng Zhou & Yongjun Xiao - 1-13 Analysis Of Soliton Profiles Of The Generalized P–Type Equation With Conformable Derivative Via Two Distinct Approaches
by Muhammad Amin S. Murad & Usman Younas & Ejaz Hussain & Fehaid Salem Alshammari - 1-14 Analysis Of The Correlation Between Skin And Heart Reactions In Olfactory Stimulations
by Hamidreza Namazi & Huma Khan & Robbi Naga Nihanth & Robert Frischer - 1-14 A Study On The Nonlinear Spiral Between Bank Funding Liquidity And Stock Market Liquidity
by Zhengjie Chun & Min He - 1-15 ONE, TWO, AND THREE SOLITON AND BREATHER SOLUTIONS FOR A (3 + 1)-DIMENSIONAL TIME-FRACTIONAL KdV–ZK-LIKE EQUATION
by Wenyuan Li & Alatancang & Jiali Zhang & Jifeng Cui - 1-16 On Anatomizing A Class Of The Fractional Variational Problems With The Lagrange Multiplier
by Khosro Sayevand & Zahra Zarvan & Roghyeh Moallem Ganji & Hossein Jafari - 1-16 Mixed-Noise Removal With Coupled Nonlocal Fractal Prior And Deep Image Prior For High-Dimensional Images
by Chuling Wen & Weijie Liang & Jian Lu & Yuru Zou & Chen Xu - 1-18 Remarks On The Invariance Theorem Of Generalized Fractal Dimensions Of Graphs Of Continuous Functions
by Binyan Yu & Bilel Selmi & Yongshun Liang & Mourad Ben Slimane - 1-19 Bifurcation, Chaotic, Variational Principle And New Soliton Solutions For The Nonlinear Fractional Drinfeld–Sokolov System
by Kang-Le Wang - 1-19 Fractal Analysis For Permeability Of Multiple Shale Gas Transport Mechanisms In Dual Media With Embedded Tree-Like Branching Networks
by Xiaohua Tan & Yongjian Deng & Peng Xu & Shunzhi Yang & Lin Tong & Xiaoping Li & Gangzhen Peng & Boqi Xiao - 1-19 Soliton Solutions And Chaotic Regimes: An Analytical Study Of The Fractional Fkpp Equation
by Jan Muhammad & Ali H. Tedjani & Fengping Yao & Usman Younas - 1-20 Exploring The Impact Of Parameters On Fractional Soliton Solutions To The Truncated Date–Jimbo–Kashiwara–Miwa Equation
by Ali H. Tedjani - 1-21 Hausdorff Dimension Of A Class Of Two-Dimensional Self-Similar Sets
by Shaza Nammoura & Mohammad Gareeb - 1-21 Wave Soliton Solutions For Conformable-Fractional Partial Differential Equations
by Ahmed Shehadeh & Ahmad El-Ajou & Aliaa Burqan & Tareq Eriqat - 1-22 Analytical Advances In Fractal Hermite–Hadamard–Mercer–Type Inequalities Via Generalized Beta Function
by Muhammad Mehtab & Saad Ihsan Butt & Mohammed Alammar & Youngsoo Seol - 1-23 Analytical And Numerical Investigations Of Soliton Structures In A Time-Fractional (2 + 1)-Dimensional Konopelchenko–Dubrovsky System
by Salah Boulaaras - 1-23 Effects Of Different Latitudes On Urban Air Quality: A Perspective Based On Time Series Of Pm2.5 Concentration
by Wei Shao & Bowen Geng & Jiarui Zhang & Jian Wang - 1-24 Comparative Dynamical Analysis Of Exact And Numerical Solutions For The Fractional Telegraph Equation
by Lei Han & Maha Alammari & Muhammad Abuzar & Lanre Akinyemi - 1-24 Fractal Model For Spontaneous Imbibition In Coal Considering Gas Adsorption-Induced Swelling Deformation
by Zhen Liu & Zhixiang Wang & He Yang & Muyao Zhu & Jian Zhang & Huaijun Ji & Jintong Zhang - 1-24 Estimating The Optimal Hedge Ratios Of Shanghai Crude Oil Futures Using A Denoising-Multifractal Dual Intelligent Integration Approach
by Pengfei Zhu & Tuantuan Lu & Yu Wei - 1-25 Fractional Wave Dynamics And Soliton Solutions In Magneto-Electro-Elastic Circular Rods
by Hamood Ur Rehman & Naeema Jafar & Yasser Alrashedi & Theyab Alrashdi & Ifrah Iqbal - 1-25 IMPROVED MACLAURIN-TYPE INEQUALITIES INVOLVING LOCAL FRACTIONAL INTEGRALS FOR GENERALIZED s-PREINVEX FUNCTIONS AND NUMERICAL INTEGRATION
by Wenbing Sun & Xiaogang Zhu - 1-28 A New Analytical Method Of General Conformable Differential Equations With Applications To Chemical Kinetics, Fractal Calculus, And Vibrations
by J. N. Gutiérrez-Corona & O. O. Sánchez-Sánchez & L. A. Quezada-Téllez & G. Fernández-Anaya - 1-30 A New Model Of Gas–Water Two–Phase Seepage Based On The Fractal Structure Of Coal Fracture–Pore
by Sirui Liu & Zhen Liu & He Yang & Qingbo Gu & Chaohui Sun & Fenglin Ni & Wentao Ji - 1-35 Weighted Multiplicative Fractional Integrals: Analytical Properties And Applications In Weddle’S Rule Error Estimation
by Tingsong Du & Can Yang
2026, Volume 34, Issue 06
- 1-2 Preface: Special Issue On “Analysis And Modeling Of Heat And Mass Transfer In Fractal Porous Media” — Part Iii
by Boqi Xiao & Ali Akgül & Dahua Shou & Gongbo Long & Qian Zheng - 1-10 Analyzing The Consistent Manipulation Of Optical Pulse And Soliton In Rubidium Atomic Medium
by Mohammadi Begum Jeelani & Ghaliah Alhamzi - 1-12 Analytic Solutions Of Fractional Zoomeron Equation Via Power Index Approach And Stability Analysis Of Traveling Wave Transformation
by Bushra Yasmeen & Khalil Ahmad & Thabet Abdeljawad & Manar A. Alqudah - 1-12 Application Of Finite Volume Approach To Investigate Mass Transfer Phenomena In Sintering By Surface Diffusion
by Hussain Arafat & Abdul Rahman Mohd Kasim & Shahid Hussain & Ahmad Bakhet & Maha Ali & Amirah Ayidh I Al-Thaqfan & Mohammed Zakarya & Ali Ammar & Nadiah Zafer Al-Shehri - 1-12 Analytical Study Of Fractals Fractional Order (3 + 1)-Dimensional Population Dynamical Model
by Eiman & Kamal Shah & Muhammad Sarwar & Bahaaeldin Abdalla & Thabet Abdeljawad - 1-12 QUALITATIVE ANALYSIS AND NUMERICAL SIMULATIONS OF THE CAPUTO FRACTIONAL POROUS MEDIUM EQUATION IN (n + 1)-DIMENSIONS
by Samia Bushnaq & Zareen A. Khan & Israr Ahmad & Naveed Ahmed & Sadique Ahmad - 1-12 Dynamics Of A Waterborne Disease Model In Porous Media Using Caputo Fractional Variable Order Derivative
by Israr Ahmad & Zareen A. Khan & Nahid Fatima & Afifah Al Eid - 1-12 Numerical Analysis Of Williamson Nanofluid Flow Over A Stretched Sheet In A Porous Medium With Radiation And Heat Source/Sink Effects
by Sarook Khan & Deepak Kumar & Ravindra Kumar & Ruchika Mehta & Ibrahim Alraddadi & Hijaz Ahmad & Osama Oqilat & Taha Radwan - 1-13 New Solitary Waves Of Stochastic (3 + 1)-Dimensional Nonlinear Evolution Equations Under Brownian Motion
by Uroosa Faryad & Aqsa Faryad & Ibrahim Aldayel & Meraj Ali Khan & Ali Akgül - 1-13 Analysis And Application Of The Fractal-Fractional Glucose–Insulin Model Via The Atangana–Baleanu Derivative
by Najat Almutairi - 1-13 Mathematical Modeling And Heat Transfer In Mhd Maxwell Couple Stress Williamson Nanofluid Over An Inclined Permeable Stretching Surface
by Ilyas Khan & Ali Rehman & Mustafa Inc & Siti Sabariah Binti Abas & N. F. M. Noor & Wei Sin Koh - 1-13 Heat And Mass Flux Effects On The Thermodynamics And Hydrodynamics Of Ternary Hybrid Nanofluid Through A Disk
by U. V. Kalyani & G. Pavani & D. Baba Basha & C. Ganteda & A. Anupama & G. V. R. Reddy & Mustafa Inc & Ilyas Khan & Siti Sabariah Abas & N. F. M. Noor & Wei Sin Koh - 1-13 Topological Degree Theory To Investigate Fractional Order Korteweg–De Vries Equation Of Porous Media
by Atta Ullah & Zareen A. Khan & Nahid Fatima & Nabil Mlaiki & Mdi Begum Jeelani - 1-15 Heat And Mass Transfer Investigation Of Third-Grade Williamson–Casson Hybrid Nanofluid Model In Darcy-Forchheimer Porous Medium Across Exponential Stretching Surface Influenced By Viscous Dissipation
by Ali Rehman & Mustafa Inc & D. Baba Basha & Siti Sabariah Binti Abas & Ilyas Khan & N. F. M. Noor - 1-15 Ai–Based Data Analysis Of A Fractal–Fractional Order Contamination Transportation And Sedimentation Model For Rivers
by Hasib Khan & Hadeel Bin Amer & Wafa F. Alfwzan & Jehad Alzabut & Rajermani Thinakaran - 1-15 Theoretical And Numerical Analysis Of Piecewise Lotka–Volterra Prey–Predator Models With Stochastic Differential Operators
by Atul Kumar & Homan Emadifar & Manar Alqudah & Kamal Shah & Thabet Abdeljawad - 1-15 Analysis Of Fractals Fractional Order Chronic Neurological Disease Model
by Nabil Mlaiki & Nadeem Khan & Zareen A. Khan & Dania Santina & Mukhtiar Khan - 1-15 Novel Approaches For Nonlinear Time–Fractional Telegraph Equation Through Stability Analysis
by Bushra Yasmeen & Khalil Ahmad & Khaled Naseralla & Thabet Abdeljawad & Manar A. Alqudah - 1-15 Study Of Fractional Order Mathematical Model To Investigate Effect Of Plantation On The Control Of Atmospheric Co2
by Nadeem Khan & Kamal Shah & Aman Ullah & Manel Hleili & Bahaaeldin Abdalla & Thabet Abdeljawad - 1-16 Fractal–Fractional Approaches To Computer Virus Control In Scale-Free Network Structures
by Muflih Alhazmi & Sayed Saber - 1-16 Analysis Of Fractional Differential Equations In Higher-Dimensional Complex System With Proportional Delay, Discrete Term, And Nonlinear Coupling: Applications In A Biological Model And Porous Media
by Salma Noor & Aman Ullah & Muhammad Tayyab & Salma Haque & Nabil Mlaiki - 1-16 Study Of Stochastic And Fractional-Order Deterministic Type Epidemic Model
by Nahid Fatima & Khursheed J. Ansari & Hussam Alrabaiah & Atul Kumar & Nabil Mlaiki - 1-17 Mathematical And Computational Analyses Of Rotavirus Epidemics Model Under Conformable Fractional Derivative
by Mdi Begum Jeelani & Nouf Abdulrahman Alqahtani - 1-18 Exploring The Impact Of Fractal–Fractional Derivatives On Chaotic Systems And Heat Transfer
by Muflih Alhazmi & Sayed Saber - 1-18 Stability Analysis Of An 𝒮ℰℐ𝒬ℛ Epidemic Model With Saturated Incidence Rate Using Fractal-Fractional Order Techniques
by Ibad Ullah & Mukhtiar Khan & Imtaiz Ahmad & Nadeem Khan & Ahmad Aloqaily & Maryam Ali Alghafli & Nabil Mlaiki - 1-20 Implementation Of Atangana–Baleanu–Caputo (Abc) Fractional Time Operator On Heat And Mass Transfer Phenomena Of Walter’S-B Fluid
by Muhammad Zafarullah & Ilyas Khan & Aneesa Nawaz & Muhammad Jamil & Thoraya N. Alharthi & Abdoalrahman S. A. Omer & Samira Elaissi & N. F. M. Noor - 1-20 Conformable Derivative Analysis Of Optical Solitons In Generalized Fractional Kundu–Mukherjee–Naskar Equation Via Modified Extended Direct Algebraic Method
by Ikram Ullah & Muhammad Bilal & Alhanouf Alburaikan & Moodi Abdulrahman Abdullah Al-Rajeh & Hamiden Abd El-Wahed Khalifa - 1-20 Investigation Of Radioisotopes Population Dynamics By The Help Of Modeling And Artificial Intelligence
by Hasib Khan & Hadeel Bin Amer & Rabia Latif & Wafa F. Alfwzan & Rajermani Thinakaran - 1-22 Fractal–Fractional Model Of Zoonotic Disease Transmission Between Humans And Baboons In The Al–Baha Region With Applications To Dynamics, Transport Processes, And Hyers–Ulam Stability Analysis
by Mohammed Althubyani & Ghanem Al-Ghamdi & Sayed Saber - 1-23 Unveiling Soliton Dynamics In Nonlinear Spatiotemporal Fractional Quantum Mechanics Equation: An Analytical Exploration Using An Innovative Technique
by Muhammad Bilal & Javed Iqbal & Ikram Ullah & Alhanouf Alburaikan & Salah Boulaaras & Hamiden Abd El-Wahed Khalifa - 1-24 Advanced Mathematical Analysis Of Ebola Virus Transmission Through Fractal Fractional–Order Models
by Ateeq Ur Rehman Irshad & Nadeem Khan & Mukhtiar Khan & Farhad Hussain & Kamal Shah & Bahaaeldin Abdalla & Khursheed J. Ansar & Thabet Abdeljawad - 1-24 Heat Transfer In Transient Flow Of Rate-Type Fluid In A Porous Medium: Fractional Models Of Caputo, Caputo–Fabrizio And Atangana–Baleanu Derivatives
by Ilyas Khan & Thoraya N. Alharthi & Ghaliah Alhamzi & Ghada R. Elnaggar & Najla A. Mohammed & Taghreed A. Assiri & N. F. M. Noor & Wei Sin Koh - 1-38 Essential Criteria For Proportional Fractional Generalized Hukuhara Differentiability For Goursat Problems With Application In Mhd Couple Stress Fluid Flowing Through A Channel Embedded In A Porous Medium
by Saima Rashid & Nida Fatima & Tehreem Fatima & Yu-Ming Chu
2026, Volume 34, Issue 05
- 1-7 Dimension Of Multi-Branch Flower Networks
by Yi Lu & Jingjing Chen & Yuxing Gaozheng & Qin Wang - 1-7 On The Average Steiner Eccentricity For Vicsek Networks
by Cheng Zeng & Daohua Wang & Zixuan Zhao & Qingcheng Zeng - 1-9 Investigation Into The Vibration Behaviors Of Fractal-Modified Nonlinear Oscillator For Cantilever Beams
by Pinxia Wu & Chen Zhong & Lixiong Wang & Yanping Liu - 1-9 Fractal-Fractional Model For Agglomerate-Structured Materials In 3d Printing Process And Its Variational Formulation
by Yu-Ting Zuo - 1-10 Analysis Of The Effect Of Music Tempo On Skin And Facial Muscle Activity
by Anupam Baliyan & Riya Chauhan & Michal Schmirler & Norazryana Binti Mat Dawi & Hamidreza Namazi - 1-11 On The Finite Delayed Fractional Differential Equation Via The Weighted Riemann–Liouville Derivative Of Variable Order
by Fahd Jarad & Thabet Abdeljawad & Mohammed Said Souid & Abdelhamid Hallouz & Manar Alqudah - 1-12 Qualitative Analysis Of The Fractal Complex Hirota-Dynamical Model For Optical Fiber Communication: Variational Principle, Hamiltonian And Diverse Soliton Solutions
by Youxian Zhang & Chao Zhang & Kang-Jia Wang - 1-13 Complexity-Based Coupling Of Cardiac And Facial Muscle Responses To Olfactory Stimuli
by Mohammad Sidiq & Loveleen & Najmeh Pakniyat & Alireza Khalili Golmankhaneh & Shakir Khan & Hamidreza Namazi - 1-13 Exploring The Time-Fractional Black–Scholes Model Using Caputo Derivative: A Numerical Perspective
by Xiankang Luo & Amra Al Kenany & Meshal Shutaywi - 1-15 Nonlinear Evolution Characteristics Of The Mutual-Exciting Network Of Acoustic Emission Events And The Multifractal Early Warning Model
by Zhibo Zhang & Jiang Sun & Hongtu Zhang & Jiabao Wang - 1-15 Generating Inner And Outer Fractals In An Energy Supply–Demand System At The Hopf Bifurcation Point
by Abbas Khan & Tahir Saeed Khan & Muhammad Marwan & Li Wang - 1-15 MULTIPLICATIVE FRACTIONAL SIMPSON-TYPE INEQUALITIES FOR MULTIPLICATIVELY THRICE-DIFFERENTIABLE s-CONVEX FUNCTIONS
by Xiaoying Xiang & Zhijie Cao & Tingsong Du - 1-16 κ-Fractional Calculus Operators And Solution Of Fractional Kinetic Equations Involving The Multivariate κ-Mittag-Leffler Matrix Functions
by Muneera Abdullah Qadha & Sarah Abdullah Qadha & Thabet Abdeljawad - 1-16 GENERALIZED m-s-GODUNOVA–LEVIN FUNCTIONS USING LOCAL FRACTIONAL CALCULUS AND SOME INEQUALITIES
by Rainier V. Sã Nchez C. & Armando Garcã A & Jos㉠E. Sanabria & Yessica N. Nãšã‘Ez R. - 1-17 Zero-Hopf Bifurcation Analysis In Integer- And Fractional-Order Energy Supply-Demand Chaotic System
by Huimei Liu & Feng Li & Gauhar Ali & Muhammad Marwan - 1-18 Fractal Study On Gas Permeability In Unsaturated Dual-Porosity Media Based On Solid–Liquid Contact Angle Mechanism
by Zihang Wu & Shanshan Yang & Xiuya Guo & Huili Wang & Qian Zheng - 1-18 Dynamical Behaviors And Diverse Soliton Solutions For The Fractional Yajima–Oikawa Equation
by Kang-Le Wang - 1-19 New Analysis And Derivations Of Simpson’S Formulas In Multiplicative Riemann–Liouville Fractional Calculus
by Jianqiang Xie & Muhammad Aamir Ali & Chanon Promsakon & Thanin Sitthiwirattham - 1-20 A Fractal-Based Permutation Belief Entropy For Uncertainty Measure In Random Permutation Set
by Shaolong Liu & Niu Wang & Daijun Wei & Mingli Lei & Ningkui Wang - 1-22 TEMPERED FRACTIONAL HERMITE–HADAMARD-TYPE INEQUALITIES FOR s-CONVEX STOCHASTIC PROCESSES
by Hong Li & Hongyan Xu & Muhammad Uzair Awan & Badreddine Meftah - 1-23 Multiplicative Tempered Fractional Integrals In G-Calculus And Associated Hermite–Hadamard-Type Inequalities
by Abdelghani Lakhdari & Wedad Saleh & Hãœseyin Budak & Badreddine Meftah & Fahd Jarad - 1-24 FRACTIONAL- AND INTEGER-ORDER ANALYSIS OF m-SUPERQUADRATIC STOCHASTIC PROCESSES WITH APPLICATIONS IN INFORMATION THEORY
by Dawood Khan & Saad Ihsan Butt & Mohammed Alammar & Youngsoo Seol - 1-38 DERIVATIVES THROUGH PROBES IN REGULAR GEOMETRIC OBJECTS: A DIMENSIONAL EXPLORATION FOR q-SETS IN TIME SCALE CALCULUS
by Mehmet Nä°Yazä° Ã‡Ankaya
2026, Volume 34, Issue 04
- 1-7 Stability Analysis Of Gdp-National Debt Dynamics Using Delay Differential Equation
by Qiliang Chen & Dipesh & Pankaj Kumar & Haci Mehmet Baskonus - 1-9 Codimension Two Phenomena Of A Delay Difference Equation
by Bo Li & Mohammadreza Mahmoudi & Zohreh Eskandari - 1-9 The Trivial Coupling Approach For The Weak Order Using The Monte Carlo Method With The Invertible Scheme
by Yousef Alnafisah - 1-10 SOME CHARACTERIZATION RESULTS FOR NONSMOOTH INTUITIONISTIC FUZZY OPTIMIZATION VIA SYMMETRIC gH-DIFFERENTIABILITY
by Yanrong An & Yating Guo & Wei Liu & Huiyun Li - 1-10 A Wavelet Modeling Of Correlated Noise In Smart Health Multi-Sensors Data Monitoring
by Anouar Ben Mabrouk & Zaid Bassfar & Fehaid S. Alshammari & Sarah Bassfar & Abdulaziz Alanazi - 1-11 Bounds For Generalized Fractional Integral Operators Of Generalized Strongly Convex Functions Via Mittag-Leffler Functions
by Yonghong Liu & Ghulam Farid & Ferdous M. O. Tawfiq & Jongsuk Ro & Hafsa Yasmeen - 1-11 On The Stability Analysis And Numerical Dynamics Of The Nonlinear Black–Scholes Equation In Conformable Arising In Economy
by Qiliang Chen & Asif Yokus & Haci Mehmet Baskonus & Wei Gao - 1-11 Entropy Generation Analysis Of Dusty Fluid With Peristalsis In Asymmetric Channel With Slip Effects
by Atifa Kanwal & Ambreen Afsar Khan & Aziz Khan & D. K. Almutairi & Thabet Abdeljawad - 1-11 Artificial Neural Network Technique For Solving One-Dimensional Fractional Rayleigh–Stokes Equation
by Yones Esmaeelzade Aghdam & Hamid Mesgarani & Samira Bozorgi & Hossein Jafari & Van Thinh Nguyen - 1-12 Some Oscillation Results For Two Riemann–Liouville Fractional Dynamic Equations On Time Scales
by Qinghua Feng - 1-12 A Novel Numerical Method For Solving Modified Atangana–Baleanu Fractional Problems Based On The Operational Matrix Method
by Lana Abdelhaq & Sondos M. Syam & Muhammed I. Syam - 1-12 A Computational Analysis Of Ð ’Œâ„¬Ð ’Ž Hybrid Fractional Differential Equations Of Type Ii
by Asma & Yasra Khan & Sadique Ahmad & Abeer D. Algarni & Manel Hleili - 1-12 Fractal-Inspired Sentiment Analysis: Evaluation Of Large Language Models And Deep Learning Methods
by Hatoon S. Alsagri & Shahab Saquib Sohail - 1-12 Optical Soliton Solution Of The Benney–Roskes Zakharov–Rubenchik Systems
by Mehmet Fatä°H Uã‡Ar - 1-13 Dynamic Analysis And Hamiltonian Energy Aspects Of Hyperchaotic Megastable Oscillator
by Gayathri Vivekanandhan & Karthikeyan Rajagopal & Anitha Karthikeyan & Salah Boulaaras & Asma Alharbi - 1-13 A Mathematical Model For Controlling The Alcohol Addiction: Stability And Numerical Analysis
by Samia Bushnaq & Anwar Zeb & Sidra Iqbal & Salih Djilali & Khursheed J. Ansari - 1-13 Bayesian Inference To Predict Next Lower Records: An Application In Epidemiological Modeling
by Abbas Pak & Iman Makhdoom & Mohammadreza Mahmoudi & Amir Mosavi - 1-14 Computational Algorithms And Thermal Dynamics: Engineering A Sustainable Energy Framework
by Muhammad Ahsan & Amel Ali Alhussan & El-Sayed M. El-Kenawy & Namra Ashraf - 1-14 Some New Integral Inequalities Of Ostrowski Type By Incorporating The Atangana–Baleanu Fractional Integral Operator
by Humaira Kalsoom & Zareen A. Khan - 1-14 Testing For The Multifractality In Air Pollutants Time Series And Application Toâ Tabuk Region Case Study
by Abdulrahman F. Aljohani & Anouar Ben Mabrouk & Mounirah Areshi & Jamel Bouslimi & Ali H. Laatar & Abdallah A. Shaltout - 1-14 Maneuvering Penetration Method For Missile Under Unknown Interception Strategies Based On Transfer Deep Reinforcement Learning
by Yaokun Wang & Pan Kai & Huatao Chen & Kun Zhao & Juan L. G. Guirao & Dengqing Cao - 1-14 Implementing Three-Qubit Grover’S Algorithm Using Real Quantum Platforms
by Marco Simonetti & Damiano Perri & Osvaldo Gervasi - 1-15 The Fourth-Order Explicit Grouping Method Based On Crank–Nicolson Approach For Solving The Two-Dimensional Fractional Mobile/Immobile Equation
by Muhammad Asim Khan & Norma Alias & Ayesha Ayub & Umair Ali & Dennis Ling Chuan Ching & A. F. Aljohani & Ilyas Khan & Abid Ali Memon - 1-15 Characterization Of Complex Structures With Chaotic Phenomena And Determination Of Chaos In Stochastic Complex Systems
by Ghulam Bary & Waqar Ahmed & Riaz Ahmad & Juxiang Shao & Duohui Huang & Mohsen Bakouri & Ilyas Khan & Wei Sin Koh - 1-15 Stability Of Synchronization Manifold In Coupled Fractional-Order Nonlinear Oscillators: A Master Stability Function Approach
by Karthikeyan Rajagopal & Sajad Jafari & Prakash Duraisamy & Salah Boulaaras & Anitha Karthikeyan & Asma Alharbi - 1-15 Structural Dynamics Within The Evolution Of The Complex Systems Through Chaos Peculiarities With Quantum Statistical Perspective
by Ghulam Bary & Waqar Ahmed & Riaz Ahmad & A. B. Albidah & Wasif Ali & Juxiang Shao & Duohui Huang & Wei Sin Koh & Hala H. Taha & Ilyas Khan - 1-15 Proximal Policy Optimization For Collision Avoidance And Motion Planning In Autonomous Vehicles: A Mathematical Modeling Perspective
by Mohammad Hijji & Muhammad Munsif & Mohammed Alwakeel & Ahmed Alwakeel & Fahad Aradah & Faouzi Alaya Cheikh & Muhammad Sajjad & Khan Muhammad - 1-15 NEW BOUNDS FOR q-HADAMARD-TYPE INTEGRAL INEQUALITIES FOR GENERALIZED CONVEX FUNCTIONS WITH APPLICATION
by Humaira Kalsoom & Zareen A. Khan - 1-15 Dynamic Relationship Between Carbon Trading System Resilience And Low-Carbon Stock Market Returns Using Time-Varying Granger Causality
by Qizhi He & Mati Ur Rahman & Jiawei Hu & Jinxin Cui - 1-15 Human–Computer Dialogue Systems-Based Image-Text Visualization, Fusion And Multi-Intent Models’ Construction
by Wang Meng & Suzan J. Obaiys & Yeliz Karaca & Nur Amalina Binti Jamaludin - 1-16 Waves Propagation And Sensitivity Visualization For The Fractional Order Heimburg Model In Biomembranes And Nerves
by Tahira Sumbal Shaikh & Muhammad Zafarullah Baber & Nauman Ahmed & Ali Akgãœl & Naveed Shahid & Thabet Abdeljawad & Aiman Mukheimer & Qasem Al-Mdallal & Manar A. Alqudah - 1-18 Abundant Solitons Solutions Of The (2+1)-Dimensional Kadomtsev-Petviashvili-Modified Equal Width Model
by Tooba Shafique & Ravi P. Agarwal & Pshtiwan Othman Mohammed & Muhammad Abbas & Miguel Vivas-Cortez & Tahir Nazir & Abdelhamid Mohammed Djaouti - 1-18 Fractal Feature Modeling: Multi-Dimensional Attention And Spatial Adaptive Relationship Learning For Person Re-Identification
by Mingfu Xiong & Hanmei Chen & Yeliz Karaca & Abdul Khader Jilani Saudagar & Ik Hyun Lee & Javier Del Ser & Khan Muhammad - 1-18 Fractional Modeling And Design On Control System Of 2–Dof Lower–Limb Exoskeleton Robot Model
by J. E. Lavã N-Delgado & M. C. Salgado-Pineda & J. F. Gã“Mez-Aguilar & D. E. Urueta-Hinojosa & M. A. Rivera-Martã Nez & J. E. Mota-Cruz & M. A. Valois-Flores - 1-19 A Delayed Malware Propagation Model For Cloud Computing Security
by Xiaodong Yu & Zizhen Zhang - 1-20 An Intelligent Framework For Hybrid Nanofluid Flow Between Two Concentric Cylinders Based On Deep Neural Networks
by Faiza & Waseem & Shazia Habib & Salah Boulaaras & Mati Ur Rahman & Sabir Ali & Asma Alharbi - 1-21 Application Of A Fractal Fractional Derivative With A Power-Law Kernel To The Glucose–Insulin Interaction System Based On Newton’S Interpolation Polynomials
by Muflih Alhazmi & Sayed Saber - 1-22 Breast Lesion Segmentation And Classification Using U-Net Saliency Estimation And Explainable Residual Convolutional Neural Network
by Mamuna Fatima & Muhammad Attique Khan & Saima Shaheen & Hussain Mobarak Albarakati & Shuihua Wang & Syeda Fizzah Jilani & Mohammad Shabaz - 1-22 Numerical Solution Of A Multi-Term Time-Fractional Viscoelastic Non-Newtonian Fluid Model Via A Hybrid Spectral Method
by Kamran & Farman Ali Shah & Ibrahim Mahariq & Souhail Bouzgarrou & Salma Aljawi & J. F. Gã“Mez-Aguilar - 1-23 A New Analysis Of The Ab-Fractal-Fractional Operators Using The Generalized Gamma Function In Geometric Patterns
by Rabha W. Ibrahim & Dumitru Baleanu & Yelä°Z Karaca & Soheil Salahshour - 1-26 Fractional-Order Model Of Immunization And Multidrug Resistance In People With Tuberculosis: Lyapunov Stability, Modeling And Chaos Control
by Kottakkaran Sooppy Nisar & Muhammad Farman & Dumitru Baleanu & Saba Jamil & Changjin Xu & Ahmad O. Hourani & Aceng Sambas - 1-26 Flip Bifurcation And Numerical Study Of Crimean–Congo Hemorrhagic Fever With Sustainable Fractional Approach
by Aqeel Ahmad & Ali Raza & Muhammad Farman & Ali Akgãœl & Muhammad Nauman Aslam & Dumitru Baleanu & Suhad Ali Osman Abdallah & N. S. Abd El-Gawaad - 1-27 Analyzing The Dynamics Of Breast Cancer Progression With Fractional Modeling And Simulation: Effects Of Estrogen And Unhealthy Diets
by Tmader Alballa & Rahat Zarin & Aurang Zeb & Amir Khan & Hamiden Abd El-Wahed Khalifa & Usa Wannasingha Humphries - 1-27 Intelligent Computing Paradigm For Stochastic Sis Model With Double Epidemic Diseases
by Kottakkaran Sooppy Nisar & Muhammad Shoaib & Adeeba Haider & Maria & Muhammad Asif Zahoor Raja - 1-29 Color Image Encryption Through Multi-S-Box Generated By Hyperchaotic System And Mixture Of Pixel Bits
by Nawres A. Alwan & Suzan J. Obaiys & Nurul Fazmidar Binti Mohd Noor & Nadia M. G. Al-Saidi & Yeliz Karaca - 1-30 Sensitivity Analysis And Numerical Modeling Of Influenza Propagation And Intervention Strategies Under The Fractal-Fractional Operator
by Rahat Zarin & Usa Wannasingha Humphries & Hamiden Abd El-Wahed Khalifa & Aeshah A. Raezah - 1-30 Advanced Dynamic Numerical Scheme For Fractal-Fractional Differential Operators For Cytotoxic T Lymphocyte Model Pertaining To Mittag-Leffler Kernel
by Tahir Abbas & Saima Rashid & Yeliz Karaca & Yu-Ming Chu - 1-31 A Comprehensive Analysis And Optimal Control For A Nonlinear (φ1,φ2)-Fractional Differential Equations Toxic Drinks Model Pertaining To Mittag-Leffler Kernel Techniques
by Tahir Abbas & Saima Rashid & Yeliz Karaca & Yu-Ming Chu - 1-32 Review On Fractal Interpolation Functions
by T. M. C. Priyanka & A. Gowrisankar - 1-48 EDITORIAL ARTICLE OF SPECIAL ISSUE: PART I-A SERIES — MATHEMATICAL MODELING OF COMPLEX SYSTEMS: FRACTALS-FRACTIONAL-ITÔ-DEs- WAVELET-ENTROPY-AI-BASED THEORIES, ANALYSES AND APPLICATIONS
by Yelä°Z Karaca & Dumitru Baleanu & Yu-Dong Zhang & Osvaldo Gervasi & Majaz Moonis
2026, Volume 34, Issue 03
- 1-2 Erratum: PREDICTIVE MODELING OF REAL-TIME COLORECTAL CANCER VIA HYPERPARAMETER CONFIGURATION WITH DEEP LEARNING USING PUBLIC HEALTH INDICATOR ANALYSIS
by Jamal Alsamri & Fatima Quiam & Mashael Maashi & Abdullah M. Alashjaee & Mohammad Alamgeer & Ahmed S. Salama - 1-5 The Fractal Characteristics Of The Fibonacci Sequence
by H. R. Liang & Y. S. Liang - 1-7 The Property Of Riemann–Liouville Fractional Integral Of The Lipschitz Function
by Y. Y. Yao - 1-9 Metric Properties For (ˆ’β)-Transformation With Nonrecurrent Orbits Of 1
by Hui Hu & Xin Tong - 1-9 Remarks On The Riemann–Liouville Fractional Integral Of Lipschitz Functions
by S. T. Ding & Y. S. Liang - 1-11 Consensus Analysis Of Weighted Generalized Windmill Networks: Based On Central Node Importance Shift
by Xiaoqian Wang & Qiuqiu Fan & Xin Chen - 1-13 Strengthened Version Of Fractional Hermite–Hadamard–Mercer Inequalities For Harmonically Convex Functions Based On Jensen–Mercer Inequality
by Fangfang Shi & Muhammad Amir Ali & Wei Liu & Dongdong Gao - 1-13 Fractal Study Of Bingham Fluid Flow In Dual Porous Media With Asymmetric Characteristics
by Jiaqing Hu & Shanshan Yang & Qian Zheng - 1-14 Constructing Soliton Wave Structures For The Nonlinear Fractional Complex Ginzburg–Landau Equation And Its Stability Analysis Using An Analytical Approach
by Mohammed S. Ghayad & Hamdy M. Ahmed & M. Elsaid Ramadan & Taher A. Nofal & Islam Samir & Karim K. Ahmed - 1-14 Developing The Limit-Residual Function Method For Providing Approximate Solutions To Initial And Boundary-Value Problems
by Ahmad El-Ajou - 1-14 ADVANCED FRACTIONAL MODELING OF PHARMACOKINETIC PROCESSES USING mABC AND HILFER DERIVATIVES
by Merve Karaoglan & Erdal Bas & Salah Boulaaras - 1-15 Fractal Multi-Scale Physics-Informed Neural Networks For Fractal-Modified Nonlinear Oscillators
by Pinxia Wu & Zhiqiang Sheng & Chunhui He - 1-15 A Customized Closed-Loop Eeg-Based Interface System To Adjust Focus, Relaxation, And Engagement By Alteration Of Visual Stimuli Complexity
by Mohammed Ali Salimi & Hamidreza Namazi & Reza Khosrowabadi - 1-16 Variational Principle, Hamiltonian, Sensitivity Analysis And New Soliton Solutions For The Nonlinear Fractional Schrã–Dinger–Hirota Equation
by Kui Liu & Kang-Le Wang - 1-17 Exploring The Perturbed Fractional Nonlinear Schrã–Dinger Equation: Application In The Optical Fiber And Quantum Mechanics
by Zi-Ge Wu & Kang-Le Wang - 1-18 Exact Solutions For The Flow Of Time Fractional Model Of Ternary Nanofluid: Applications In Cementitious Materials
by Farhad Ali & Mishma Yousaf & Nadeem Ahmad Sheikh & Ilyas Khan - 1-18 The Nonlinear Mechanism Of Investors’ Behavior Affecting The Multifractality Of Stock Market: Evidence From China
by Nan Xu & Songsong Li & Hao Xu & Weiqian Zhang - 1-19 Compression Ratio Of Fractal Sets
by Joel Ratsaby - 1-20 Stochastic Efficiency Of Wind Time Series In Northeast Brazil: A Novel Approach Based On Information-Theory Quantifiers
by Fã Bio Sandro Dos Santos & Fernando Henrique Antunes De Araujo & Alan De Queiroz Medeiros & Kerolly Kedma Felix Do Nascimento - 1-21 Numerical Approach To Time-Fractional Partial Differential Equations Using Extreme Learning Machine Technique
by M. Fathima & S. Raja Balachandar & S. G. Venkatesh & H. Jafari - 1-22 On Milne-Type Inequalities Via Katugampola Fractional Multiplicative Integrals
by Abdelghani Lakhdari & Bandar Bin-Mohsin & Khalid Achachera & Hongyan Xu & Hãœseyin Budak - 1-23 Mathematical Modeling And Analysis Of Covid-19 Transmission Dynamics Via Caputo–Fabrizio Fractional Operator
by Gunaseelan Mani & Paramanathan Elangovan & John Paul Martin & Sabri T. M. Thabet & Imed Kedim & Thabet Abdeljawad - 1-29 Hermite–Hadamard-Type Inequalities Via Multiplicative Fractional Calculus And Applications To Superquadratic Structures
by Ghulam Jallani & Saad Ihsan Butt & Dawood Khan & Youngsoo Seol - 1-39 PARAMETERIZED INEQUALITIES INVOLVING MULTIPLICATIVE ψk-RAINA’S FRACTIONAL INTEGRALS
by Fuxiang Liu & Bingbing Fan & Jielan Li
2026, Volume 34, Issue 02
- 1-2 Preface: Special Issue On €Œrecent Applications Of Fractal Theory And Fractional Calculus In Mathematical Physicsâ€
by Omar Abu Arqub & Muhammad Nadeem & Yusuf Gurefe - 1-10 Two-Scale Approach For The Analysis Of Time-Fractional Diffusion Problems In Heterogeneous Media
by Jingmei Peng & Huaping Xiao & Asim Suleman A. Alwabel & Sharifah E. Alhazmi & Abdelaziz G. M. Musa - 1-11 An Inverse Time-Dependent Diffusion Coefficient Problem For A Space-Fractional Diffusion Equation
by Smina Djennadi & Omar Abu Arqub & Marwan Abukhaled & Nabil Shawagfeh - 1-11 Analytical Analysis Of Fractional Damped Burgers’ Equation Using Caputo Derivative In Fluid And Plasma Fields
by Jinxing Liu & Sorin Mureåžan & Ebraheem Alzahrani & Mohamed Hussien & Sabir Widatalla - 1-11 Solutions Of The Hyperbolic Fractional Inclusions Under Weak Assumptions In Banach Spaces
by Hossein Jafari & Meryem Meddahi & Van Thinh Nguyen & Yusif S. Gasimov - 1-12 Optimal Control Analysis Of A Fractional-Order Model For Online Gaming Addiction
by Muhammad Nadeem & Mustafa Habib & Rifat Ansar & Shazia Karim & Loredana Florentina Iambor & Asma Abbas Hassan Elnour & Wedad M. Alawad - 1-13 A Computational Approach For Analyzing The Approximative Treatment Of Fractional-Ordered Diffusion Problems
by Huaping Xiao & Jingmei Peng & Amra Al Kenany & Shaaban M. Shaaban & Hussam M. Gubara - 1-13 Investigating Jerk Phenomenon By Using Fractal-Fractional Analysis
by Kamal Shah & Arshad Ali & Rohul Amin & Zeeshan Ali & Bahaaeldin Abdalla & Thabet Abdeljawad & Manar Alqudah - 1-13 Extended Analysis On Riemann–Liouville Fractional Differential Equations: Anti-Periodic Boundary Conditions Of Variable Order
by Dean Chou & Mokhtari Mokhtar & Zoubida Bouazza & Mustafa Inc & Mohammed Said Souid - 1-13 New Applications Of The Fractional Derivatives To Extract Abundant Soliton Solutions Of The Fractional Estevez–Mansfield–Clarkson Equation In Mathematical Physics
by Miguel Vivas-Cortez & Ghazala Akram & Maasoomah Sadaf & Saima Arshed & Muhammad Abbas & Qurrat-Ul-Ain & Y. S. Hamed - 1-13 Radiotherapy Effects In Tumor Treatment: A Piecewise Model With Deterministic And Stochastic Approaches
by Salah Boulaaras & Seda Igret Araz & Asma Alharbi - 1-13 Memory Effects In The Glycolysis Pathway: Stability, Bifurcations, And Numerical Simulations
by Fatiha Mesdoui & Naziha Belmahi & Nabil Shawagfeh & Amirah Ayidh I Al-Thaqfan & Maha Ali & Haytham M. Rezk & Mohammed Zakarya