An application of $q$-Sumudu transform for fractional $q$-kinetic equationequatio

Abstract

The aim of this paper is to give an alternative solution for the $q$ -kinetic equation involving the Riemann– Liouville fractional $q$ -integral operator. The solution is obtained in terms of the $q$ -Mittag–Leffler functions using inverse $q$ -Sumudu transform. As applications, some corollaries are presented to illustrate the main results.