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

Theory of Approximation and Applications

مقاله 7، دوره 10، شماره 1، مرداد 2016، صفحه 69-86   

نوع مقاله: Research Articles

نویسندگان

A. Neamaty^{* 1}؛ B. Agheli²؛ R. Darzi³

¹Department of Mathematics, University of Mazandaran, Babolsar, Iran

²Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

³Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran

چکیده

In this work, we have applied Elzaki transform and He's homotopy perturbation method to solve
partial 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 homotopy
perturbation method in order to reformulate initial value problem. Some illustrative examples are
given in order to show the ability and simplicity of the approach. All numerical calculations in this
manuscript were performed on a PC applying some programs written in Maple.

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