Jñānābha‎, Vol. 49 (2) (2019), 105-112

THE MULTI-PARAMETER k-MITTAG-LEFFLER FUNCTION ASSOCIATED WITH GENERALIZED FRACTIONAL KINETIC EQUATIONS

By

Bhupender Singh Shaktawat1, Rajeev Kumar Gupta2 and Madan Lal3

1Department of Mathematics, Dayanand College, Ajmer, Rajasthan-305001, India

2;3Department of Mathematics, Jai Narain Vyas University, Jodhpur, Rajasthan-342005, India

Email:b.s.shaktawatmath@gmail.com, drrkbgupta@yahoo.co.in, madan.lakhani288@gmail.com

(Received : November 03, 2019 ; Revised: November 14, 2019)


Abstract

The object of this paper is to establish a new generalized form of the fractional kinetic equation with multiparameter k-Mittag-Leffler function[2]. The solution of fractional kinetic equations are discussed in terms of the Mittag-Leffler function of two parameters[13] by using Sumudu transform[12]. The obtained results are general in nature and can easily get various known and probably new results.


2010 Mathematics Subject Classification26A33, 44A20, 33E12, 34A08
Keywords and phrasesFractional calculus, Fractional kinetic equation, Multiparameter k-Mittag-Leffler function, Sumudu transform