Prabhakar and Hilfer-Prabhakar Fractional Derivatives in the Setting of $\Psi$-Fractional Calculus and Its Applications


Sachin K. Magar, Pravinkumar V. Dole, Kirtiwant P. Ghadle




The aim of this paper is to study to fractional calculus for class of $\Psi$ function. The present study is designed to study generalized fractional derivatives and find their generalized transforms called $\Psi$-Laplace transform and $\Psi$-Sumudu transform. Moreover, find the analytical solutions of some applications in physics the form of generalized fractional derivatives by transform technique.