Solution of the Modified Time Fractional Coupled Burgers Equations Using Laplace Adomian Decompostion Method

Abstract In this work, a coupled system of time-fractional modified Burgers’ equations is considered. Three different fractional operators: Caputo, Caputo-Fabrizio and Atangana-Baleanu operators are implemented for the equations. Also, two scenarios examined each operator: when initial conditions u(x, y, 0) = sin(xy), v(x, they e {−kxy} , where k, α some positive constants. With aid computable Adomian polynomials, solutions obtained using Laplace decomposition method (LADM). The does not need linearization, weak nonlinearity assumptions or perturbation theory. Simulations also presented to support theoretical results, behaviour under three compared.