AUTHOR=Nisar Kottakkaran Sooppy 

TITLE=Generalized Mittag-Leffler Type Function: Fractional Integrations and Application to Fractional Kinetic Equations

JOURNAL=Frontiers in Physics

VOLUME=8

YEAR=2020

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.00033

DOI=10.3389/fphy.2020.00033

ISSN=2296-424X

ABSTRACT=<p>The generalized fractional integrations of the generalized Mittag-Leffler type function (GMLTF) are established in this paper. The results derived in this paper generalize many results available in the literature and are capable of generating several applications in the theory of special functions. The solutions of a generalized fractional kinetic equation using the Sumudu transform is also derived and studied as an application of the GMLTF.</p>