Abstract

In this paper, we will derive the Formable integral transform of the Hilfer-Prabhakar and its regularized version of the Hilfer-Prabhakar fractional derivative. Then, we will use the Formable and Fourier transforms, which involve the three-parameter Mittag-Leffler function, to find the solution of some Cauchy type fractional differential equations with Hilfer-Prabhakar fractional derivatives.