Fractional Integration and Solution of Generalized kinetic equation considering Generalized Lommel-Wright function

Abstract

In this article, we initially built the generalized form of the Lommel-Wright function and then evaluated the Saigo hypergeometric fractional integrals of the newly built special function. We developed a generalized form of the fractional kinetic equation using the introduced special function. The solution of the generalized fractional kinetic equation in terms of the Mittag-Leffler functions is established via Laplace transform. Some special cases are also discussed.