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Open AccessArticle

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

Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawser 11991, Saudi Arabia
Mathematics 2019, 7(12), 1230; https://doi.org/10.3390/math7121230
Received: 22 November 2019 / Revised: 5 December 2019 / Accepted: 8 December 2019 / Published: 12 December 2019
(This article belongs to the Special Issue Special Functions and Applications)
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. View Full-Text
Keywords: Mittag-Leffler function; generalized Mittag-Leffler functions; fractional integrations; fractional kinetic equations Mittag-Leffler function; generalized Mittag-Leffler functions; fractional integrations; fractional kinetic equations
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MDPI and ACS Style

Nisar, K.S. Fractional Integrations of a Generalized Mittag-Leffler Type Function and Its Application. Mathematics 2019, 7, 1230. https://doi.org/10.3390/math7121230

AMA Style

Nisar KS. Fractional Integrations of a Generalized Mittag-Leffler Type Function and Its Application. Mathematics. 2019; 7(12):1230. https://doi.org/10.3390/math7121230

Chicago/Turabian Style

Nisar, Kottakkaran S. 2019. "Fractional Integrations of a Generalized Mittag-Leffler Type Function and Its Application" Mathematics 7, no. 12: 1230. https://doi.org/10.3390/math7121230

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