ON FINDING CLOSED-FORM SOLUTIONS TO SOME NONLINEAR FRACTIONAL SYSTEMS VIA THE COMBINATION OF MULTI-LAPLACE TRANSFORM AND THE ADOMIAN DECOMPOSITION METHOD

In this article, two-and three-dimensional nonlinear fractional partial differential systems are solved by employing the methods of double and triple Laplace-Adomian decomposition. The applicability of these methods is examined on some known examples. The numerical simulations of the obtained results reveal that these methods are simple and effective on finding the exact and approximate solutions for some mathematical models. Moreover, they show that these methods are fully harmonious with the complexity of nonlinear problems.