Manuscript Title:

SAWI TRANSFORM OF HILFER-PRABHAKAR DERIVATIVES AND ITS APPLICATIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS

Author:

MOHD KHALID, SUBHASH ALHA

DOI Number:

DOI:10.5281/zenodo.10634338

Published : 2024-02-10

About the author(s)

1. MOHD KHALID - Department of Mathematics, Maulana Azad National Urdu University, Gachibowli, Hyderabad, India.
2. SUBHASH ALHA - Department of Mathematics, Maulana Azad National Urdu University, Gachibowli, Hyderabad, India.

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Abstract

This paper focuses on the Sawi transform of the Hilfer-Prabhakar fractional derivative and its regularised form. We will determine the solution to Cauchy-type fractional differential equations with Hilfer-Prabhakar fractional derivatives utilizing Sawi and Fourier’s transformations involving the three-parameter MittagLeffler function.


Keywords

Mittag-Leffler function, Sawi transform, Fourier transform, Fractional integral, Fractional derivative.