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κ-Fractional Derivative Operator And Solution Of Fractional Kinetic Equations Involving (κ,Ð ” )-Second Appell Hypergeometric Matrix Functions With The Two Variables

Author

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  • MUNEERA ABDULLAH QADHA

    (School of Mathematics and Statistics, Central South University, Changsha 410083, P. R. China†Department of Mathematics, Faculty of Education at Al-Mahweet, Sana’a University, Al-Mahweet, Yemen)

  • SARAH ABDULLAH QADHA

    (School of Mathematics and Statistics, Central South University, Changsha 410083, P. R. China†Department of Mathematics, Faculty of Education at Al-Mahweet, Sana’a University, Al-Mahweet, Yemen)

  • MOHAMED ABDALLA

    (��Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia)

Abstract

In this study, we present a new definition of (κ, ð ” )-second Appell hypergeometric matrix functions ((κ, ð ” )-SAHMFs). Then, we investigate analytical properties related to the novel matrix function such as derivative formulas and integral representations, and the κ-fractional derivative operators. Additionally, we obtain bilinear and linear generating relations for the (κ, ð ” )-SAHMFs. This work presents novel results regarding (κ, ð ” )-SAHMFs to solve the fractional kinetic equations.

Suggested Citation

  • Muneera Abdullah Qadha & Sarah Abdullah Qadha & Mohamed Abdalla, 2025. "κ-Fractional Derivative Operator And Solution Of Fractional Kinetic Equations Involving (κ,Ð ” )-Second Appell Hypergeometric Matrix Functions With The Two Variables," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(03), pages 1-14.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:03:n:s0218348x24501469
    DOI: 10.1142/S0218348X24501469
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