Nonlinear Fractio Al Partial Differential Equations: A new Analytical Technique for Solving

Abstract

In many branches of science and engineering, nonlinear fractional partial differential equations (FPDEs) have shown to be effective instruments for simulating complicated processes. The intrinsic complexity of these equations and the nonlocal nature of fractional derivatives pose challenges to traditional techniques of solving them. In order to overcome these difficulties, this paper presents a brand-new analytical method that offers a practical and quick way to solve nonlinear FPDEs. The suggested approach combines [briefly outline the fundamental techniques, such as the Adomian decomposition and Laplace transform] to get precise results with little computing overhead. The technique's effectiveness and adaptability are shown by a number of examples, which also highlight its potential for broad use in fields including biological systems, fluid dynamics, and financial modelling.