Open AccessAn application of q-Sumudu transform for fractional q-kinetic equation
Author(s) -
Sunıl Dutt Purohıt,
Faruk Uçar
Publication year - 2018
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1703-7
Subject(s) - mathematics , operator (biology) , inverse , mathematical analysis , riemann hypothesis , pure mathematics , geometry , biochemistry , chemistry , repressor , transcription factor , gene
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.
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