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

Authors

SUNIL DUTT PUROHIT
FARUK UÇAR

DOI

10.3906/mat-1703-7

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

First Page

726

Last Page

734

Recommended Citation

PUROHIT, SUNIL DUTT and UÇAR, FARUK (2018) "An application of $q$-Sumudu transform for fractional $q$-kinetic equation," Turkish Journal of Mathematics: Vol. 42: No. 2, Article 25. https://doi.org/10.3906/mat-1703-7
Available at: https://journals.tubitak.gov.tr/math/vol42/iss2/25