SOLUTION OF MIXED ORDERDED SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS VIA LAPALCE DECOMPOSITION METHOD

Abstract

In this work, we solve a system of partial differential equations with mixed fractional-order derivatives, described in the Caputo sense. The Laplace Decomposition Method (LDM) is used for the solution of PDE. The efficacy of the recommended methodology is illustrated by a number of cases. The correctness of the method is confirmed by the solution graphs, which closely match the exact and LDM solutions. The method's dependability is further confirmed by the observation that the solutions to the fractional-order issues converge towards the solutions to the equivalent integer-order problems.