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Extended Hypergeometric Logarithmic Functions And Its Application In Generalized Fractional Kinetic Equations

Author

Listed:
  • MOHAMED ABDALLA

    (Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt)

  • YAHYA ALMALKI

    (Mathematics Department, Faculty of Science, King Khalid University, Abha, Saudi Arabia)

  • IBRAHIM MEKAWY

    (Department of Management Information Systems, College of Business and Economics, Qassim University, Buraydah 51452, Saudi Arabia)

  • HALA ABD-ELMAGEED

    (Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia1Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt)

Abstract

An extension of the beta function that introduces the logarithmic mean is utilized here to extend hypergeometric functions such as Gauss and Kummer hypergeometric logarithmic functions. These functions encompass various well-known special functions as specific cases. This expansion is expected to be beneficial. The text explains some characteristics of the Gauss and Kummer hypergeometric logarithmic functions. Furthermore, it explores the solution of a generalized fractional kinetic equation using these newly extended functions.

Suggested Citation

  • Mohamed Abdalla & Yahya Almalki & Ibrahim Mekawy & Hala Abd-Elmageed, 2025. "Extended Hypergeometric Logarithmic Functions And Its Application In Generalized Fractional Kinetic Equations," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-9.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:04:n:s0218348x25400948
    DOI: 10.1142/S0218348X25400948
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