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 Classification: 26A33, 44A20, 33E12, 34A08 Keywords and phrases: Fractional calculus, Fractional kinetic equation, Multiparameter k-Mittag-Leffler function, Sumudu transform |
Jñānābha > Volume 49 (No2-2019) >