Fractional differential equations for the generalized Mittag-Leffler function

Praveen Agarwal, Qasem Al-Mdallal, Yeol Je Cho, Shilpi Jain

Research output: Contribution to journalArticlepeer-review

55 Citations (Scopus)

Abstract

In this paper, we establish some (presumably new) differential equation formulas for the extended Mittag-Leffler-type function by using the Saigo-Maeda fractional differential operators involving the Appell function F3(⋅) and results in terms of the Wright generalized hypergeometric-type function ψn+1({κl}l∈N0)m+1(z;p) recently established by Agarwal. Some interesting special cases are also pointed out.

Original languageEnglish
Article number58
JournalAdvances in Difference Equations
Volume2018
Issue number1
DOIs
Publication statusPublished - Dec 1 2018

Keywords

  • fractional derivative operators
  • generalized Gamma function
  • generalized Mittag-Leffler function
  • generalized Wright hypergeometric function
  • generalized beta functions

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

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