FRACTIONAL CALCULUS AND FRACTIONAL KINETIC EQUATION INVOLVING EXTENDED HYPERGEOMETRIC FUNCTION

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

doi:https://doi.org/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. Kiymaz 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

Volume 11, Issue 1 Pages 159-174 December 30, 2023 122 downloads

Article overview

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.

Keywords and Phrases

Beta functionFox-Wright functionWiman functionSumudu transform.

AMS Subject Classification

33B15, 33B20, 33C15.

Reference information

How to Cite

M. L. Kaurangini, M. P. Chaudhary, E. Ata, I. O. Kiymaz, U. M. Abubakar (2023). FRACTIONAL CALCULUS AND FRACTIONAL KINETIC EQUATION INVOLVING EXTENDED HYPERGEOMETRIC FUNCTION. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 11(1), 159-174.

Back to this issue