The Laplace Optimized Decomposition Method for Solving Systems of Partial Differential Equations of Fractional Order

In this paper, a new hybrid technique Laplace optimized decomposition method (LODM) had been proposed to construct the approximate solution of the nonlinear system of fractional partial differential equations (FPDEs) for the fractional derivative in the Caputo sense. LODM is a combination of the Laplace transform and optimized decomposition method. This technique is based on the linear approximation of the nonlinear system of FPDEs. Numerical examples are presented to show the accuracy and reliability of LODM on a class of nonlinear problems. Moreover, the results illustrate a strong agreement between the approximate and the exact solutions.