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Abdolali Neamaty Hosseinabady

Abdolali Neamaty Hosseinabady

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address: Department Of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Phone: 01135302460

Research

Title
APPLICATIONS OF HOMOTOPY PERTURBATION METHOD AND ELZAKI TRANSFORM FOR SOLVING NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
Type
JournalPaper
Keywords
Elzaki transform, He’s polynomials, homotopy perturbation method, time-fractional partial differential equation.
Year
2016
Journal Journal of Nonlinear Evolution Equations and Applications
DOI
Researchers Abdolali Neamaty Hosseinabady ، Bahram Agheli ، Rahmat Darzi

Abstract

In this paper a reliable combination of the homotopy perturbation method and the Elzaki transform has been presented for the purpose of investigating some nonlinear partial differential equations of fractional order. We have shown that using the homotopy perturbation method, we can handle the nonlinear terms. Further, we have applied this suggested homotopy perturbation method in order to reformulate the initial value problem. The application of this method results in the solution regarding transformed variables. Besides, the series solution is obtained through using the inverse transformation. The obtained results show the efficiency of the proposed method.