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