Solution of Fractional Partial differential Equation Aries in Study of Heat Transfer through Diathermanous Materials

Abstract

The aim of this paper is to investigate the solutions of fractional partial differential equations with Hilfer composite fractional derivative and the space fractional Laplacian operator, occurring in study of heat transfer through diathermanous materials. The solution of the equation is obtained by applying the Laplace and fourier transforms, in terms of Fox's H-function.