New Analytical Approximate Solutions of Fractional Differential Equations

In chapter 3, a scheme in order to obtain the approximate solutions of a class of time-fractional Lotka-Volterra equations of a prey-predator model by using homotopy perturbation method (HPM) have been presented. Moreover, the HPM and homotopy perturbation transform method (HPTM) have been applied for finding the solutions for fractional coupled Klein-Gordon-Schrödinger (K-G-S) equations with initial conditions. Also, the HPTM and modified homotopy analysis method (MHAM) are applied to obtain the approximate solution of the fractional coupled Klein-Gordon-Zakharov (K-G-Z) equations and fractional coupled sine-Gordon equations.