Recent Advancement on Analytical Solution for Linear and Nonlinear Systems of Partial Differential Equations Involving Time Conformable Fractional Derivatives
In this short chapter we apply the conformable fractional reduced differential 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 infnite series that converges to a closed form solution; which is in many cases the exact solution. We inspect its efficiency in solving systems of CFPDEs by working on several different nonlinear systems. The obtained results show that CFRDTM yielded similar solutions to exact solutions, confirming its proficiency 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.
Departement of Mathematics and Computer Science, Beirut Arab University, Lebanon.
Departement of Mathematics, Bilkent University, Turkey.