Despite the fact Laplace transform has an appreciable efficiency in solving many equations, it cannot be employed to nonlinear equations of any type. This paper presents a modern technique for employing LT time-fractional reaction–diffusion model. The new approach is called Laplace-residual power series method (L-RPSM), which imitates residual determining coefficients solution. proposed also ad...

Most physical phenomena are formulated in the form of non-linear fractional partial differential equations to better understand complexity these phenomena. This article introduces a recent attractive analytic-numeric approach investigate approximate solutions for nonlinear time by means coupling Laplace transform operator and Taylor’s formula. The validity applicability used method illustrated ...