Recent Advancement on Analytical Solution for Linear and Nonlinear Systems of Partial Dierential Equations Involving Time Conformable Fractional Derivatives

Abstract

In this short chapter we apply the conformable fractional reduced dierential transform (CFRDTM) method to compute solutions for systems of linear and nonlinear conformable fractional PDEs. The proposed method gives a numerical approximate solution in the form of an innite series that converges to a closed form solution; which is in many cases the exact solution. We inspect its effciency in solving systems of CFPDEs by working on several dierent nonlinear systems. The obtained results show that CFRDTM yielded similar solutions to exact solutions, conrming its prociency as a competent technique for solving CFPDEs systems. It required very little computational work and hence consumed much less time compared to other numerical methods.