ENHANCED ALGORITHM FOR SOLVING NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

This research presents an analytical algorithm for solving nonlinear fractional partial differential equations utilizing Aboodh residual power series method. This method effectively establishes series-form solutions, it simply handles variable coefficients problems and nonlinearities in differential equations. The methodology is presented and merged with some computational mathematical algorithms. Mathematica software is used to present high-quality numerical computation. The obtained results, illustrates the reliability and efficiency of the proposed method in solving difficult nonlinear fractional differential models. Moreover, the method shows promising applications for handling other physical and biomedical mathematical models in which fractional properties needed to describe memory-dependent processes in physical and biological systems of differential equations.