SOLUTIONS OF FRACTIONAL DIFFUSION EQUATIONS BY VARIATION OF PARAMETERS METHOD

摘要

This article is devoted to establish a novel analytical solution scheme for the fractional diffusion equations. Caputo’s formulation followed by the variation of parameters method has been employed to obtain the analytical solutions. Following the derived analytical scheme, solution of the fractional diffusion equation for several initial functions has been obtained. Graphs are plotted to see the physical behavior of obtained solutions.