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

Authors : Umar Muhammad ABUBAKAR

Pages : 25-33

Doi:10.53570/jnt.1060267

View : 18 | Download : 11

Publication Date : 2022-03-31

Article Type : Research Paper

Abstract :The main objective of this paper is to use the newly proposed $insert ignore into journalissuearticles values(p,q;l);$-extended beta function to introduce the $insert ignore into journalissuearticles values(p,q;l);$-extended $τ$-Gauss hypergeometric and the $insert ignore into journalissuearticles values(p,q;l);$-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