New Analytical Approximate Solutions of Riesz Fractional Differential Equations

The new analytical technique, viz., modified homotopy analysis method with Fourier transform (MHAM-FT) has been used to obtain the approximate solution of the Riesz fractional diffusion equation (RFDE), Riesz fractional advection-dispersion equation (RFADE), and Riesz time-fractional Camassa-Holm equation in the chapter 4. The RFDE, RFADE, and Riesz time-fractional Camassa-Holm equation have been first time solved by the MHAM-FT method in order to justify applicability of the above method. The comparison of the above methods also has been done with the exact solutions.