Islamic Azad University of Arak
Theory of Approximation and Applications
2538-2217
10
1
2013
04
01
New Integral Transform for Solving Nonlinear Partial Dierential Equations of fractional order
New Integral Transform for Solving
Nonlinear Partial Dierential Equations of
fractional order
69
86
515790
EN
A.
Neamaty
Department of Mathematics, University of Mazandaran, Babolsar, Iran
B.
Agheli
Department of Mathematics, Qaemshahr Branch, Islamic Azad University,
Qaemshahr, Iran
R.
Darzi
Department of Mathematics, Neka Branch, Islamic Azad University, Neka,
Iran
Journal Article
2015
10
11
In this work, we have applied Elzaki transform and He's homotopy perturbation method to solve<br />partial dierential equation (PDEs) with time-fractional derivative. With help He's homotopy per-<br />turbation, we can handle the nonlinear terms. Further, we have applied this suggested He's homotopy<br />perturbation method in order to reformulate initial value problem. Some illustrative examples are<br />given in order to show the ability and simplicity of the approach. All numerical calculations in this<br />manuscript were performed on a PC applying some programs written in Maple.
http://msj.iau-arak.ac.ir/article_515790_f2f9b8d82c2aee40719a149bbc38df13.pdf