FRACTIONAL CALCULUS AND FRACTIONAL KINETIC EQUATION INVOLVING EXTENDED HYPERGEOMETRIC FUNCTION

M. L. Kaurangini; M. P. Chaudhary; E. Ata; I. O. Kıymaz; U. M. Abubakar

doi:10.56827/JRSMMS.2023.1101.11

M. L. Kaurangini Aliko Dangote University of Science and Technology, Wudil P.M.B.: 3244 Kano, Kano State, NIGERIA
M. P. Chaudhary International Scientific Research and Welfare Organization (Albert Einstein Chair Professor of Mathematical Sciences) New Delhi- 110018, INDIA
E. Ata Department of Mathematics, Faculty of Arts and Sciences, Kirsehir Ahi Evran University, Kirsehir, TURKEY
I. O. Kıymaz Department of Mathematics, Faculty of Arts and Sciences, Kirsehir Ahi Evran University, Kirsehir, TURKEY
U. M. Abubakar Aliko Dangote University of Science and Technology, Wudil P.M.B.: 3244 Kano, Kano State, NIGERIA

DOI: https://doi.org/10.56827/JRSMMS.2023.1101.11

Keywords: Beta function, Fox-Wright function, Wiman function, Sumudu transform.

Abstract

In this article, generalized pathway integral operator with the classical Gauss hypergeometric function kernel and the fractional differential operators are used to studied new extended hypergeometric function. Furthermore, extended fractional kinetic equation involving new extended hypergeometric function that contained two Fox-Wright function as regularizer is investigated using Sumudu transform and Wiman’s function