New Integral Transform for Solving Nonlinear Partial Dierential Equations of fractional order

Subject Areas : Applied Mathematics

A. Neamaty ¹ , B. Agheli ² , R. Darzi ³

1 - Department of Mathematics, University of Mazandaran, Babolsar, Iran
2 - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
3 - Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran

Received: 2015-10-11 Accepted : 2015-10-11 Published : 2016-05-01

Keywords: Homotopy Perturbation method, Elzaki transform, Caputo fractional derivative,

Abstract :

In this work, we have applied Elzaki transform and He's homotopy perturbation method to solvepartial dierential equation (PDEs) with time-fractional derivative. With help He's homotopy per-turbation, we can handle the nonlinear terms. Further, we have applied this suggested He's homotopyperturbation method in order to reformulate initial value problem. Some illustrative examples aregiven in order to show the ability and simplicity of the approach. All numerical calculations in thismanuscript were performed on a PC applying some programs written in Maple.

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