Solutions of Fractional Kinetic Equations using the $(p,q;l)$-Extended τ -Gauss Hypergeometric Function

Year 2022, Issue: 38, 25 - 33, 31.03.2022

Umar Muhammad Abubakar

https://doi.org/10.53570/jnt.1060267

Cited By: 3

Abstract

The main objective of this paper is to use the newly proposed $(p,q;l)$-extended beta function to introduce the $(p,q;l)$-extended $τ$-Gauss hypergeometric and the $(p,q;l)$-extended $τ$-confluent hypergeometric functions with some of their properties, such as the Laplace-type and the Euler-type integral formulas. Another is to apply them to fractional kinetic equations that appear in astrophysics and physics using the Laplace transform method.

Keywords

Beta function, hypergeometric function, fractional calculus, pochhemmer symbol, integral transforms

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