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Elzaki Transform Approach to Fractional Kinetic Equations Using Orthogonal Polynomials and Their Generating Functions

Author

Listed:
  • Mulualem Aychluh
  • D. L. Suthar
  • S. D. Purohit
  • Biniyam Shimelis

Abstract

Various significant problems in physics and astrophysics have been successfully solved using fractional kinetic equations (FKEs) and special functions. This study applies the Elzaki integral transform to FKEs incorporating orthogonal polynomials and their generating functions. The solutions are expressed in terms of the two‐parameter Mittag–Leffler functions and plotted with the use of MATLAB R2016a. The novelty lies in new forms of FKEs and specific application of the Elzaki transform, offering new insights and computational efficiency. MSC2020 Classification: 26A33, 44A20, 74A25, 33C45, 05A15

Suggested Citation

  • Mulualem Aychluh & D. L. Suthar & S. D. Purohit & Biniyam Shimelis, 2025. "Elzaki Transform Approach to Fractional Kinetic Equations Using Orthogonal Polynomials and Their Generating Functions," Advances in Mathematical Physics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jnlamp:v:2025:y:2025:i:1:n:5535014
    DOI: 10.1155/admp/5535014
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    References listed on IDEAS

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    1. Hari Mohan Srivastava, 2022. "Some Families of Generating Functions Associated with Orthogonal Polynomials and Other Higher Transcendental Functions," Mathematics, MDPI, vol. 10(20), pages 1-23, October.
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