Combined Fourier Sine Integral Transform and Fractional Sumudu Transform Method (FSSTM) for Solving Time ــFractional Energy and Stokes´ First Equation

Abstract

In this paper, we obtain the solution of a time fractional energy equation and Stokes´ first equation by using Fourier Sine Sumudu Transform Method (FSSTM). This method is based on Fourier Sine Integral transform and Fractional Sumudu transform for solving the Stokes` first equation and energy equation with rational derivative, where the fractional derivative is defined in the Caputo sense of order. The solution of classical problems for both Stokes` first equation and energy equation has been obtained as limiting case.