An application of q-Sumudu transform for fractional q-kinetic equation

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.