Recursive formulae for the analytic solution of the nonlinear spatial conformable fractional evolution equation

Abstract

Nonlinear evolution equations (NEEs) are very important partial differential equations in nonlinear physics, optics, and engineering. In this article, we apply the residual power series (RPS) method to the initial value problem of the nonlinear spatial conformable fractional evolution equations. Coefficients of the analytic solution are computed by recursive formulae and the famous nonlinear spatial conformable fractional Fisher equation is taken as an example to verify this method. Direct computations demonstrate the correctness of the recursive formulae. Meanwhile, the recursive formulae can be easily implemented by mathematical software.