Extended (p,q)-Mittag-Leffler function and its properties

2018/08/04 by Kilicman, A., Gauhar Rahman, Rahman, G. +4
Mathematics · #Fractional Differential Equations Solutions #Mathematical functions and polynomials #Iterative Methods for Nonlinear Equations

paper · pdf · doi:10.48550/arxiv.1808.01404

Abstract

In this study our aim to define the extended (p,q)-Mittag-Leffler(ML) function by using extension of beta functions and to obtain the integral representation of new function. We also take the Mellin transform of this new function in terms of Wright hypergeometric function. Extended fractional derivative of the classical Mittag-Leffler(ML) function leads the extended (p,q)-Mittag-Leffler(ML) function.

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