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The generalized p-k-Mittag-Leffler function and solution of fractional kinetic equations

  • M. Kamarujjama
  • N. U. Khan
  • Owais KhanEmail author
Original Research Paper
  • 2 Downloads

Abstract

In this paper, we define the generalized p-k-Mittag-Leffler function and investigate its various important properties such as: Mellin-Barnes integral formula, integral transforms, and fractional calculus. The generalized p-k-Mittag-Leffler function is also discussed in terms of the solution of fractional kinetic equations. Certain interesting and useful examples are considered as special cases of generalized p-k-MLF to give the applications of our main results. We also point out their relevance with known results.

Keywords

Integral transforms Fractional calculus Fox-Wright function Generalized Mittag-Leffler function Fractional kinetic equations 

Mathematics Subject Classification

42A38 26A33 33E12 33C20 

Notes

Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interests regarding the publication of this paper.

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Copyright information

© Forum D'Analystes, Chennai 2019

Authors and Affiliations

  1. 1.Department of Applied MathematicsAligarh Muslim UniversityAligarhIndia

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