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

Mulualem Aychluh, D. L. Suthar, S. D. Purohit and Biniyam Shimelis

Advances in Mathematical Physics, 2025, vol. 2025, 1-20

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

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:5535014

DOI: 10.1155/admp/5535014

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