Solving Fractional Non-Linear Differential Equations By Laplace Homotopy Analysis Method

This study addresses solving fractional non-linear differential equations by the LHAM (Laplace Homotopy analysis method). We present a methodology for designing Modified Riemann-Liouville Integral to the fractional non-linear differential equation. Based on the union of the homotopy analysis approach and the suggested integral transform is used to find the convergence of the Inviscid Burger’s equation. The obtained criteria can be verified by numerically using Mathematica software. Finally, some simulation studies are stated to demonstrated the usefulness of the derived results.