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

Authors : Sunil Dutt Purohit, Faruk Uçar

Pages : 726-734

View : 21 | Download : 11

Publication Date : 9999-12-31

Article Type : Makaleler

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.
Keywords : Riemann--Liouville fractional $q$-integrals, $q$-kinetic equation, $q$-Sumudu transforms