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

Authors

SUNIL DUTT PUROHIT
FARUK UÇAR

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.

DOI

10.3906/mat-1703-7

Keywords

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

First Page

726

Last Page

734

Recommended Citation

PUROHIT, S. D, & UÇAR, F (2018). An application of $q$-Sumudu transform for fractional $q$-kinetic equation. Turkish Journal of Mathematics 42 (2): 726-734. https://doi.org/10.3906/mat-1703-7