Laplace-Residual Power Series Method for Solving Time-Fractional Reaction–Diffusion Model

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 adapted find approximate solution that converges exact equations. In addition, been applied examples, and findings are found impressive. Further, results indicate L-RPSM effective, fast, easy reach Furthermore, several actual solutions graphically represented demonstrate accuracy method.