IDEAS home Printed from https://ideas.repec.org/a/wly/jnlamp/v2021y2021i1n8045406.html

Some New Inequalities Using Nonintegral Notion of Variables

Author

Listed:
  • Abha Singh
  • Abdul Hamid Ganie
  • Mashael M. Albaidani

Abstract

The object of this paper is to present an extension of the classical Hadamard fractional integral. We will establish some new results of generalized fractional inequalities.

Suggested Citation

  • Abha Singh & Abdul Hamid Ganie & Mashael M. Albaidani, 2021. "Some New Inequalities Using Nonintegral Notion of Variables," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).
  • Handle: RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:8045406
    DOI: 10.1155/2021/8045406
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2021/8045406
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2021/8045406?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Naik, Parvaiz Ahmad & Zu, Jian & Owolabi, Kolade M., 2020. "Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    2. Gauhar Rahman & Kottakkaran Sooppy Nisar & Thabet Abdeljawad, 2020. "Certain Hadamard Proportional Fractional Integral Inequalities," Mathematics, MDPI, vol. 8(4), pages 1-14, April.
    3. Vaijanath L. Chinchane & Deepak B. Pachpatte, 2014. "On Some Grüss-Type Fractional Inequalities Using Saigo Fractional Integral Operator," Journal of Mathematics, Hindawi, vol. 2014, pages 1-9, August.
    4. Abdullah Akkurt & Zeynep Kaçar & Hüseyin Yildirim, 2015. "Generalized Fractional Integral Inequalities for Continuous Random Variables," Journal of Probability and Statistics, Hindawi, vol. 2015, pages 1-7, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cao, Yan & Zhou, Wei-Jie & Liu, Xiao-Zhen & Wu, Kai-Ning, 2024. "Passivity of fractional reaction-diffusion systems," Applied Mathematics and Computation, Elsevier, vol. 476(C).
    2. Samad Noeiaghdam & Sanda Micula & Juan J. Nieto, 2021. "A Novel Technique to Control the Accuracy of a Nonlinear Fractional Order Model of COVID-19: Application of the CESTAC Method and the CADNA Library," Mathematics, MDPI, vol. 9(12), pages 1-26, June.
    3. Bansal, Komal & Mathur, Trilok & Agarwal, Shivi, 2023. "Fractional-order crime propagation model with non-linear transmission rate," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    4. Abidemi, Afeez & Owolabi, Kolade M. & Pindza, Edson, 2022. "Modelling the transmission dynamics of Lassa fever with nonlinear incidence rate and vertical transmission," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    5. Joshi, Divya D. & Bhalekar, Sachin & Gade, Prashant M., 2023. "Controlling fractional difference equations using feedback," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    6. Mangal, Shiv & Misra, O.P. & Dhar, Joydip, 2023. "Fractional-order deterministic epidemic model for the spread and control of HIV/AIDS with special reference to Mexico and India," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 82-102.
    7. Alzahrani, Faris & Razzaq, Oyoon Abdul & Rehman, Daniyal Ur & Khan, Najeeb Alam & Alshomrani, Ali Saleh & Ullah, Malik Zaka, 2022. "Repercussions of unreported populace on disease dynamics and its optimal control through system of fractional order delay differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    8. Dussadee Somjaiwang & Parinya Sa Ngiamsunthorn, 2022. "Existence and Monotone Iterative Approximation of Solutions for Neutral Differential Equations with Generalized Fractional Derivatives," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    9. Wajeeha Rafaqat & Laiba Noor & Umra Rosool, 2024. "HIV/AIDS- Epidemiology, Progression, Management for Public Health," Biomedical Journal of Scientific & Technical Research, Biomedical Research Network+, LLC, vol. 58(2), pages 50184-50194, August.
    10. Samad Noeiaghdam & Denis Sidorov & Alyona Zamyshlyaeva & Aleksandr Tynda & Aliona Dreglea, 2020. "A Valid Dynamical Control on the Reverse Osmosis System Using the CESTAC Method," Mathematics, MDPI, vol. 9(1), pages 1-17, December.
    11. Osama Moaaz & Ahmed E. Abouelregal & Meshari Alesemi, 2022. "Moore–Gibson–Thompson Photothermal Model with a Proportional Caputo Fractional Derivative for a Rotating Magneto-Thermoelastic Semiconducting Material," Mathematics, MDPI, vol. 10(17), pages 1-21, August.
    12. Gbenga O. Ojo & Nazim I. Mahmudov, 2021. "Aboodh Transform Iterative Method for Spatial Diffusion of a Biological Population with Fractional-Order," Mathematics, MDPI, vol. 9(2), pages 1-21, January.
    13. Lenka, Bichitra Kumar, 2025. "New stability theory for non-autonomous fractional time-varying order derivative systems and its applications," Chaos, Solitons & Fractals, Elsevier, vol. 200(P1).
    14. Arshad, Sadia & Siddique, Imran & Nawaz, Fariha & Shaheen, Aqila & Khurshid, Hina, 2023. "Dynamics of a fractional order mathematical model for COVID-19 epidemic transmission," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    15. Weerawat Sudsutad & Nantapat Jarasthitikulchai & Chatthai Thaiprayoon & Jutarat Kongson & Jehad Alzabut, 2022. "Novel Generalized Proportional Fractional Integral Inequalities on Probabilistic Random Variables and Their Applications," Mathematics, MDPI, vol. 10(4), pages 1-21, February.
    16. Abdellatif Ben Makhlouf & Lassaad Mchiri & Hakeem A. Othman & Hafedh M. S. Rguigui & Salah Boulaaras, 2023. "Proportional Itô–Doob Stochastic Fractional Order Systems," Mathematics, MDPI, vol. 11(9), pages 1-14, April.
    17. Samad Noeiaghdam & Aliona Dreglea & Hüseyin Işık & Muhammad Suleman, 2021. "A Comparative Study between Discrete Stochastic Arithmetic and Floating-Point Arithmetic to Validate the Results of Fractional Order Model of Malaria Infection," Mathematics, MDPI, vol. 9(12), pages 1-17, June.
    18. Attaullah, & Jan, Rashid & Yüzbaşı, Şuayip, 2021. "Dynamical behaviour of HIV Infection with the influence of variable source term through Galerkin method," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    19. Naik, Parvaiz Ahmad & Owolabi, Kolade M. & Yavuz, Mehmet & Zu, Jian, 2020. "Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    20. Xiaohong Zuo & Wengui Yang, 2025. "Certain Novel p,q‐Fractional Integral Inequalities of Grüss and Chebyshev‐Type on Finite Intervals," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:8045406. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/3197 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.