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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 - 1-15 Theoretical Study Of Fractional Differential Equations Under Uncertainty Involving General Memory Kernels
by Hossein Jafari & Muhammad Imran Liaqat & Yusif S. Gasimov & Van Thinh Nguyen - 1-15 Pseudospectral Fractional Differentiation Matrices For Solving Riccati And Bagley–Torvik Fractional Models Via Mixed Shifted Polynomials
by Weam G. Alharbi & Dalal M. Almutairi & Dina Abdelhamied & Marwa M. Alzubaidi & Mounirah Areshi & M. El-Kady & M. Abdelhakem - 1-16 Using Neural Network And Fractals Fractional Analysis To Predict The Eye Disease Infection Caused By Conjunctivitis Virus
by Kamal Shah & Khalil Ur Rehman & Bahaaeldin Abdalla & Thabet Abdeljawad & Wasfi Shatanawi - 1-17 Existence, Uniqueness, Hyers–Ulam Stability And Controllability Results Of Integro-Differential Equations Related To The Fractional Caputo Derivative
by Govindaswamy Gokulvijay & Salah Boulaaras & Sriramulu Sabarinathan & Asma Alharbi - 1-17 Advancing Fractional Boundary Value Problems Solutions Using Shifted Vieta–Lucas Polynomials And Spectral Approaches
by Zulfiqar Ahmad Noor & Mohie M. Alqezweeni & Muhammad Bilal Riaz & Imran Talib - 1-18 Soliton Solutions For The Higher Dimensional Fractional Conformable Stochastic Modified Korteweg–De Vries–Zakharov–Kuznetsov Model
by Muhammad Nadeem & Kalim U. Tariq & Rabia Khan & A. I. Ismail & Mohamed Hussien & Khalid Suliman Aboodh - 1-19 Modeling And Stability Analysis Of Neurological Disorder Under Alzheimer’S Disease With Novel Fractional Technique
by Ammara Talib & Muhammad Farman & Abdullahi Umar Ibrahim & Khadija Jamil & Kottakkaran Sooppy Nisar & Aceng Sambas - 1-21 Analysis Of Hall Current Effects On Unsteady Jeffrey Fluid Flow With Fractional Mass And Thermal Transport In Porous Medium
by Imran Siddique & Laiba Ghafoor & Taha Radwan & Zaher Munder Yaseen & Barno Abdullaeva - 1-21 New Applications Of The Caputo Fractional Derivative To Obtain Numerical Solution Of The Coupled Fractional Korteweg–De Vries Model Using Quintic B-Spline Functions
by Usama Ghafoor & Miguel Vivas-Cortez & Muhammad Abbas & Patricia J. Y. Wong & M. R. Alharthi & Y. S. Hamed & Muhammad Kashif Iqbal - 1-21 Solitary Wave Structures For Time Fractional Stochastic Poisson–Nernst–Planck Model In Electrobiochemical System
by Muhammad Nadeem & Kalim U. Tariq & Rabia Khan & Kalim U. Tariq & Loredana Florentina Iambor & Mohamed Hussien & Mansour F. Yassen - 1-21 Investigating The Success Of Ivf With Fractional-Order Model: Analysis And Case Study
by Manal Ghannam & Bilgen Kaymakamzade & Muhammad Farman & Kottakkaran Sooppy Nisar & Fahad Aljuaydi & Aceng Sambas - 1-24 Love Dynamical Model With Perspectives Of Piecewise Differential Operators
by Atul Kumar & Hambeer Singh & Sadique Ahmad & Ala Saleh Alluhaidan - 1-25 Theoretical Predictions Of Existence And Uniqueness For Stochastic M-Fractional Differential Models Of Random Brownian Motion, Exhibited With Matrix Spectral Collocation Solutions And Simulated With The Electrical Engineering Rlc Utility As A Case Interpretation
by Haneen Badawi & Omar Abu Arqub & Raghad Eid - 1-25 Analysis Of Caputo–Fabrizio Fractional Derivative On Tumor-Immune Mathematical Model With Optimal Control
by Shumaila Irum & Muhammad Asif & B. S. N. Murthy & M. N. Srinivas & A. S. Al-Moisheer & V. Madhusudanan & Anwar Zeb - 1-31 Application Of Fractal-Fractional Operators To Fractional Chaotic Systems: Insights Into Complex Dynamics
by Muflih Alhazmi & Sayed Saber
2026, Volume 34, Issue 01
- 1-6 Visibility Of Non-Self-Similar Sets
by Yi Cai & Yang Yang - 1-6 Dynamics Of The New Exact Wave Solutions To The Local Fractional Vakhnenko–Parkes Equation
by Yan-Hong Liang & Kang-Jia Wang - 1-9 Approximation By The Hã–Lder Continuous Functions With The Same Fractal Dimension
by B. Q. Wang & Y. S. Liang - 1-10 Unveiling Diverse Exact Solutions And Fractional-Order Effects In The Modified Korteweg–De Vries Equation Via The Exp-Function Method
by Weifan Hou & Na Qie & Jihuan He & Jinfeng Ma & Meigeng Gao & Zhou Chen & Chunhui He - 1-10 Finite-Time Stability Of Fractional-Order Neural Networks With Proportional Delay
by Yanrong An & Muhammad Aamir Ali & Jarunee Soontharanon & Thanin Sitthiwirattham - 1-10 A Comprehensive Study On The Variational Formulation Of The Fractal-Fractional Kdv-Zk Equation With Viscoelasticity Insights And Applications
by Yan Wang & Lizhong Chen & Zhongxi Liu - 1-11 Analytical Approximation To The Distribution Of Breakdown Coefficients For Binary Beta-Lognormal Discrete Multifractal Cascades
by Andreas Langousis & Alin A. Carsteanu & Roberto Deidda - 1-11 A Fractal Permeability Model For The Disk-Shaped Bifurcation Network With Tortuosity Effect Considering The Influence Of Surface Roughness
by Yi Li & Boqi Xiao & Lei Chen & Yifan Gong & Yu Yang & Yongjun Xiao & An Feng & Yi Wang - 1-12 Magnetization Current And Magnetic Susceptibility From Pauli Equation In The Context Of Conformable Fractional Derivative
by Ilyas Haouam - 1-12 Fractal Dimension Of Substitution Tree Networks
by Qingcheng Zeng & Yumei Xue & Daohua Wang & Ying Miao - 1-13 Multifractal Analysis Of Consumer Behavior During Covid-19
by Okyu Kwon & Gabjin Oh - 1-13 Fractal Image Coding With Deep Image Prior And Total Variation Regularization For Salt-And-Peppers Noise Removal
by Chuling Wen & Weijie Liang & Jian Lu & Chen Xu & Yuru Zou - 1-13 The Analysis Of A Fractional Order Reaction–Diffusion System Using Variational Iteration Method
by Gauhar Ali & Noor Khan & Yong Wang - 1-14 A Review Of Fractal Eeg Analysis In Neurological And Psychiatric Disorders
by Najmeh Pakniyat & Huma Khan & Hamidreza Namazi - 1-14 Resistance Distances In Skeleton Networks Of Sierpinski Hexagon
by Jiaqi Fan & Zenghui Fang & Keman Hu - 1-15 Bifurcating Lump Soliton Structures Inâ The Fractional Drinfel’D Sokolov Wilson Framework
by Naveed Iqbal & Shah Hussain & Wael W. Mohammed & Yousef Jawarneh & Akbar Ali & Taher S. Hassan - 1-15 Diversity Of Soliton Solutions To The Nonlinear Fractional Kadoma Equation
by Kang-Le Wang - 1-17 Early Detection Of Fungal Diseases In Mango Leaves: Fusion Of Glcm Features And Vision Transformers With Deep Neural Network Classification
by Juliã N Patiã‘O Ortiz & Ricardo Carreã‘O Aguilera & Sergio Juã Rez Vã Zquez & Miguel Patiã‘O Ortiz & Marã A Angã‰Lica Chã Vez Benã Tez - 1-17 Application Of A Novel Variable-Order Fractional Neutron Point Kinetics Model For Nuclear Reactor Reactivity Transient Analysis
by F. A. Godã Nez & S. Quezada-Garcã A & G. Fernã Ndez-Anaya & L. A. Quezada-Tã‰Llez & M. A. Polo-Labarrios - 1-18 Ai-Powered Physics-Constrained Transformer Framework: A New Approach To Solving Fractional Partial Differential Equations
by Xuejuan Li & Qi Li & Wenjing Zhao - 1-18 Exploring The Fractional Wave Profiles To The Generalized Truncated Bogoyavlensky–Konopelchenko Equation
by Jan Muhammad & Usman Younas & Ahmed Zubair Jan - 1-18 On The Complex Dynamics Of Simple Integer To Fractional-Order Sine Chaotic Oscillators
by Bei Gao & Ali Shukur & Muhammad Marwan & Ning Wang - 1-20 Energy-Conserving Numerical Scheme For Space-Fractional Damped Nonlinear Schrã–Dinger Equations
by Ying Wang & Yongqi Yang & Yue Shen - 1-21 Mathematical Modeling Of Psychological Disease By Using Artificial Intelligence Tools
by Manar A. Alqudah & Kamal Shah & Fatemah Mofarreh & Thabet Abdeljawad - 1-22 Exploring The β-Fractional Telegraph Equation: Investigating The Optical Solitary Waves, Interaction Solutions And Multistability Analysis
by Usman Younas & Jan Muhammad & Aziz Khan & Thabet Abdeljawad & Manar A. Alqudah & Imtiaz Ahmad - 1-23 HERMITE–HADAMARD-TYPE FRACTIONAL INTEGRAL INEQUALITIES FOR MULTIPLICATIVELY (h,m)-PREINVEX INTERVAL-VALUED FUNCTIONS
by Yun Tan & Dafang Zhao & Guoshan Deng - 1-23 Avoiding Intersections Of Dragon Curves
by Reimund Albers & Zongyi Guo & Huaiyi Guo - 1-31 Generalized Boole’S Type Inequalities On Fractal Domains: Fractal Fractional Approach And Applications
by Saad Ihsan Butt & Muhammad Mehtab & Youngsoo Seol - 1-35 Exploring And Predicting The Nonlinear Dynamics Of Islamic Fixed-Income Securities By Generalized Chaos Analysis And Wavelet Neural Networks
by Markus Vogl & Milena Kojiä† & Petar Mitiä† & Aida Haniä† & Fernando Henrique Antunes De Araujo - 1-35 MULTIPLICATIVE (k,p)-HADAMARD FRACTIONAL INTEGRALS WITH APPLICATIONS TO MERCER-TYPE INEQUALITIES
by Ziyi Zhou & Xianbao Yuan & Tingsong Du
2025, Volume 33, Issue 10
- 1-2 Preface: Special Issue On €Œanalysis And Modeling Of Heat And Mass Transfer In Fractal Porous Media† €” Part Ii
by Boqi Xiao & Ali Akgül & Dahua Shou & Gongbo Long & Qian Zheng - 1-9 A Novel Model For The Electrical Conductivity Of Water-Saturated Tree-Like Branching Network With Fractal Rough Surfaces
by Shasha Ye & Yonghui Liu & Yongjun Xiao & Yu Yang & Ruotong Lv & Yifan Gong & Wenjie Huang & Wenjie Chen - 1-10 Uniqueness Results Based On Delta Fractional Operators For Certain Boundary Value Problems
by Pshtiwan Othman Mohammed & Ravi P. Agarwal & Dumitru Baleanu & Thabet Abdeljawad & Majeed A. Yousif & Mohamed Abdelwahed - 1-10 Effect Of Variable Fluid Properties On Powell–Eyring Liquid Flow Over A Curved Sheet With The Cattaneo–Christov Flux Model
by Aziz Khan & A. A. Khan & Khaled Naseralla & Manar A. Alqudah & Thabet Abdeljawad & Rajermani Thinakaran - 1-11 Analyzing The Radiation Of Radium Atoms By Using Fractals And Fractional Analysis
by Saowaluck Chasreechai & Hammad Khalil & Shafi Ullah & Thanin Sitthiwirattham & Hussam Alrabaiah - 1-11 An Adsorption Model Considering The Complexity Of Solid Particles And Pore Structure
by Xiao-Hua Tan & Yong-Jian Deng & Gang-Zhen Peng & Xiao-Ping Li - 1-11 Significance Of Chemical Reaction And Heat Transfer In Hybrid Nanofluid Over Vertical Porous Surface With Variable Viscosity
by Ibrahim Mahariq & Muhammad Shaheen & Mehreen Fiza & Hakeem Ullah & Ali Akgãœl & Fahad Sameer Alshammari & Dilsora Abduvalieva & Aasim Ullah Jan - 1-11 Effect Of New Fractal Flow Field Structure On The Performance Of Hydrogen Fuel Cell
by Haiyun Liu & Quan Wen & Lihaosheng Ji & Kai Yin & Shijie He & Jiyin Cao & Yongjun Xiao - 1-11 A Novel Model For Oxygen Effective Diffusivity Of Gas Diffusion Layer In Proton Exchange Membrane Fuel Cells Using Fractal-Monte Carlo Technique
by Jun Gao & Cenglin Yao & Wei Gui & Yanyan Hong & Boqi Xiao & Yongjun Xiao - 1-12 Fractal And Bifurcation Theory Analysis Of Retinal Images: Advancing Diabetic Retinopathy Diagnosis Using The Messidor Database
by Ping Ji & Jinsui Wu & Dezhi Hu & Wei Chen & Ying Li - 1-12 Predicting Effective Thermal Conductivity Of Unsaturated Fractal Porous Media With Rough Surfaces Using Fractal-Monte Carlo Simulations
by Shasha Ye & Yonghui Liu & Yongjun Xiao & Wenjie Chen & Yifan Gong & Ruotong Lv & Yu Yang & Wenjie Huang - 1-12 A Fractal-Monte Carlo Approach To Simulate Electrical Conductivity Of Porous Media With Rough Surfaces
by Aimei Liu & Yongjun Xiao & Yonghui Liu & Boqi Xiao & Wenjie Huang & Yu Yang & Ruotong Lv & Yifan Gong & Wenjie Chen - 1-13 A Fractal-Based Model Of Relative Permeability In Porous Media
by Xiao-Hua Tan & Xiao-Jun Zhou & Jing Liang & Hui Cao & Xiao-Lei Wang - 1-13 An Efficient Wavelet Technique For Solving Variable-Order Fractional Equations Arising In Contaminant Transport Through Porous Media
by Shah Jahan & Pooja Yadav & Kamal Shah & Thabet Abdeljawad - 1-13 Mathematical Modeling Of Mhd Mixed Convective Reiner–Philippoff Fluid With A Stretching Sheet Embedded In A Porous Medium
by Ravindra Kumar & Ruchika Mehta & Anurag Bhatnagar & Dilber Uzun Ozsahin & Hijaz Ahmad & Taha Radwan - 1-14 Theoretical Analysis Of Mhd Darcy–Forchheimer Porous Media For Hybrid Nanomaterial Flow With Third-Grade Fluid Over An Exponential Stretching Sheet
by Aziz Khan & Amir Abbas & Khaled Naseralla & Thabet Abdeljawad & Nidhal Becheikh & Lioua Kolsi & Manar A. Alqudah - 1-15 Numerical Study And Fractal Analysis On Early Diagnosis Of Lung Cancer
by Xiaoyu Fan & Weiwei Yan & Rou Chen - 1-15 Study On The Impact Of Natural Fracture Networks In Shale Gas Reservoirs With Fractal Characteristics On Productivity
by Xiao-Hua Tan & Jun-Jie Zhang & Ji-Sheng Huang & Xiao-Jun Zhou & Xiao-Bing Han & Tai-Xiong Qing & Dai-Jin Zhuang & Yu Huan & Hao-Han Tang & Jin-Bo Li & Xiao-Hong Bai & Kun Zhang - 1-15 Chemical Reaction And Radiation Effects On Dissipative Magneto Micropolar Fluid Flow Over A Porous Stretching Sheet With Heat Source/Sink
by Jayaramireddy Konda & M. Narendranadh Reddy & Saiful Islam & Vediyappan Govindan & Haewon Byeon - 1-16 Convective Micropolar Hybrid Nanofluid Mhd Dissipative Flow With Nonuniform Heat Source And Slip Conditions Across A Porous Extending Surface: Numerical Approach
by Ibrahim Mahariq & Mehreen Fiza & Sher Hassan & Hakeem Ullah & Ali Akgãœl & Fahad Sameer Alshammari & Dilsora Abduvalieva & Aasim Ullah Jan - 1-16 Multi-Scale Hemodynamic Model Of The Liver With Fractal Theory
by Yiyang Zhou & Hongqing Song & Hao Huang & Wei Qu & Yuhe Wang - 1-17 Applicability Of Fractals-Fractional Analysis To Investigate Rotaviruses Disease Model With Nonlinear Incidence Rate
by Eiman & Kamal Shah & Muhammad Sarwar & Manel Hleili & Thabet Abdeljawad & Bahaaeldin Abdalla - 1-17 Research On The Mechanical Characteristics Of Laminated Shale Based On Scratch Tests
by Qing Li & Xiaoshan Li & Qiang Luo & Xiang Dai & Kai Li & Liu Yang - 1-17 Fractal Analysis Of Surface Diffusion Effects On Gas Permeability Of Fractal Porous Media In The Slip Flow Regime
by Jinglei Xu & Shufen Ruan & Shanshan Yang & Qian Zheng & Yongjun Xiao - 1-17 Fractal Flow Model For Darcy–Forchheimer Couple Stress Cluster Interfacial Nanolayer Magnetized Metallic Nanofluid Flow Through A Porous Channel
by Wajid Ullah & Zahir Shah & Muhammad Sulaiman & Mansoor H. Alshehri & Elisabeta Antonescu & Narcisa Vrinceanu - 1-18 A Well Testing Analysis And Production Prediction Model For Fractured-Vuggy Carbonate Fractal Reservoirs
by Qimin Liang & Weiwei Yan & Rou Chen & Rui Shen & Shengchun Xiong - 1-18 Anisotropy And Directional Dependency In Core Fracturing: 3d Structure And Fractal Analysis
by Jinsui Wu & Yuanyuan Li & Ping Ji & Huichao Yin & Dezhi Hu & Shangxian Yin & Ying Li - 1-19 Theoretical Analysis Of Activation Energy Of Darcy–Forchheimer Fractional Bioconvection Flow Of Nanofluid Due To A Rotating Disk With Entropy Generation
by Hussain Arafat & Farhan Ali & Nehad Ali Shah & Maawiya Ould Sidi & Se-Jin Yook - 1-19 Pressure Transient Analysis Of Fractured Vertical Wells In Faulted Reservoirs Using A Fractal Permeability-Based Boundary Element Model
by Yulong Zhao & Haoyan Feng & Feng Ge & Shenhao Xu & Qianchen Cui & Liehui Zhang - 1-19 Nuclear Magnetic Resonance Experiments On Enhanced Oil Recovery By Co2 Flooding In Tight Reservoirs
by Liu Yang & Fei Gong & Jigang Zhang & Yunhao Han & Ziheng Zhao & Zhen Liu & Zhehan Yu - 1-21 Lie Symmetries In Nonlinear Liquid Film Flow With Heat And Mass Transfer And Variable Magnetic Field
by Ilyas Khan & Thoraya N. Alharthi & Ghani Khan & Ghaliah Alhamzi & Muhammad Safdar & Bismah Jamil & Safia Taj & Riaz Ahmad Khan & Abaker A. Hassaballa & Wei Sin Koh - 1-21 Intelligent Computing Of Numerical Treatment Of Model Of Heat Transfer Of Micropolar Fluid Through A Porous Medium With Radiation
by Ibrahim Mahariq & Mehreen Fiza & Kashif Ullah & Hakeem Ullah & Ali Akgãœl & Fahad Sameer Alshammari & Dilsora Abduvalieva & Aasim Ullah Jan - 1-22 Thermal Radiation Effects On Fractals Mhd Flow With Heat And Mass Transfer Over Rotating Porous Disk In The Presence Of Dufour And Soret Using An Artificial Neural Network Approach
by Ibrahim Mahariq & Mehreen Fiza & Ajed Akbar & Hakeem Ullah & Ali Akgãœl & Fahad Sameer Alshammari & Dilsora Abduvalieva & Aasim Ullah Jan - 1-24 Application Of The Ultra-Fast Time Resolution Method To Describe The Influence Of Sc-Co2 On Crack Propagation Behavior
by Liu Yang & Mingyuan Zhang & Fawang Zhang & Zhengyan Zhang - 1-30 A New Recurrent Neural Network Method To Melting Heat Transfer Analysis On Mhd Darcy–Forchheimer Hybrid Nanofluid Flow In A Porous Medium
by Ibrahim Mahariq & Mehreen Fiza & Kashif Ullah & Hakeem Ullah & Ali Akgãœl & Fahad Sameer Alshammari & Dilsora Abduvalieva & Aasim Ullah Jan
2025, Volume 33, Issue 09
- 1-7 Bayesian Estimation Of Drift Fractional Brownian Motion At Discrete Observations
by Leixin Xia & Baojiang Chen & Dejian Lai - 1-9 The Superposition Of Two Surfaces With Single-Point Fractal Characteristics
by J. R. Guo & Y. S. Liang - 1-9 Box Dimension And Mixed Fractional Calculus Of Fractal Interpolation Surfaces
by Xuanlin Wan & Kui Yao - 1-10 On The Higher-Order Λ-Fractional Bending Beam
by Alireza Khabiri & Reza Taghipour & Ali Asgari & Hossein Jafari - 1-11 Numerical Investigation Of Fractal Oscillator For A Pendulum With A Rolling Wheel
by Shaoqing Zheng & Yingjun Lou & Shaowei Shen & Junfeng Lu - 1-11 Fractal Analysis Of Evaporation–Imbibition In Porous Media Including Gravity
by Yuzeng Duan & Mingchao Liang & Tiantian Xie & Mingqing Zou & Liang Luo & Boqi Xiao - 1-11 Calculation Of The Degree Of Variation Of The Electric Power Demand Curve Caused By The Covid-19 Pandemic, Using The Fractal Dimension
by Hã‰Ctor A. Tabares-Ospina & Jaime A. Valencia-Velasquez - 1-11 Relative Node Degrees And Link Lengths Of Parametric Thue–Morse Network
by Tianying Sun & Min Niu - 1-11 Complexity-Based Analysis Of The Variations In Brain Activity In Short Deep Breathing
by Ondrej Krejcar & Anis Yazidi & Gaurav Agarwal & Hamidreza Namazi - 1-12 Fractal Theory In Functional Brain Mapping: From Sensor Space To Source Reconstruction
by Najmeh Pakniyat & Gaurav Agarwal & Penhaker Marek & Ondrej Krejcar & Hamidreza Namazi