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.