Generalized integral transforms and fractional calculus operators involving a generalized Mittag-Leffler type function.

Ankit Pal

doi:10.3390/IOCMA2023-14393

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Generalized integral transforms and fractional calculus operators involving a generalized Mittag-Leffler type function.

Ankit Pal

¹ VIT Bhopal University, India.

Academic Editor: Manuel De Leon

Published: 28 April 2023 by MDPI in The 1st International Online Conference on Mathematics and Applications session Mathematical Physics

https://doi.org/10.3390/IOCMA2023-14393

Abstract:

In this work, we consider a generalized Mittag-Leffler type function and establish several integral formulas involving Jacobi and related transforms. We also establish a new composition of generalized fractional calculus operators associated with the generalized Mittag-Leffler type function. Additionally, certain special cases of generalized Mittag-Leffler function have been corollarily presented.

Keywords: Generalized Mittag-Leffler function; Jacobi Transform; P-transform; Generalized fractional calculus operators

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