New generalized integral transform on Hilfer-Prabhakar fractional derivatives and its applications
• Mohd Khalid,
• Subhash Alha
Mohd Khalid
Department of Mathematics, Maulana Azad National Urdu University

Corresponding Author:khalid.jmi47@gmail.com

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Subhash Alha
Department of Mathematics, Maulana Azad National Urdu University

## Abstract

In this paper, we obtain the new generalized integral transform on Prabhakar integral, Hilfer-Prabhakar derivatives and regularized Hilfer-Prabhakar fractional derivatives. Next, we evaluate the solution of some Cauchy type fractional differential equation with Hilfer-Prabhakar fractional derivatives by applying the new integral transform and Fourier transforms which involves three parameter Mittage-Leffler function.