Fractional Integrations of a Generalized Mittag-Leffler Type Function and Its Application

Kottakkaran Sooppy Nisar
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Kottakkaran Sooppy Nisar: Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawser 11991, Saudi Arabia

Mathematics, 2019, vol. 7, issue 12, 1-13

Abstract: A generalized form of the Mittag-Leffler function denoted by p E q ; δ λ , μ ; ν x is established and studied in this paper. The fractional integrals involving the newly defined function are investigated. As an application, the solutions of a generalized fractional kinetic equation containing this function are derived and the nature of the solution is studied with the help of graphical analysis.

Keywords: Mittag-Leffler function; generalized Mittag-Leffler functions; fractional integrations; fractional kinetic equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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