THE NEW SOLUTION OF TIME FRACTIONAL WAVE EQUATION WITH CONFORMABLE FRACTIONAL DERIVATIVE DEFINITION

Year 2015, Issue: 7, 79 - 85, 01.08.2015

Yücel Çenesiz Ali Kurt

Abstract

– In this paper, we used new fractional derivative definition, the conformable fractional derivative, for solving two and three dimensional time fractional wave equation. This definition is simple and very effective in the solution procedures of the fractional differential equations that have complicated solutions with classical fractional derivative definitions like Caputo, Riemann-Liouville and etc. The results show that conformable fractional derivative definition is usable and convenient for the solution of higher dimensional fractional differential equations

Keywords

Time fractional wave equation, conformable fractional derivative.