APPLYING VIM TO CONFORMABLE PARTIAL DIFFERENTIAL EQUATIONS

APPLYING VIM TO CONFORMABLE PARTIAL DIFFERENTIAL EQUATIONS

A. Harir, S. Melliani, L. S. Chadli

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Abstract

In this paper, we used new conformable variational iteration method, by the conformable derivative, for solving fractional heat-like and wave-like equations. This method is simple and very e ective in the solution procedures of the fractional partial di erential equations that have complicated solutions with classical fractional derivative de nitions like Caputo, Riemann-Liouville and etc. The results show that conformable variational iteration method is usable and convenient for the solution of fractional partial di erential equations. Obtained results are compared to the exact solutions and their graphics are plotted to demonstrate e ciency and accuracy of the method.

Keywords

Variational iteration method, Conformable derivative, fractional partial dif- ferential equations, Factional derivative.