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Khosro Sayevand

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Mathematical Sciences and Statistics
Address: Malayer University
Phone: 081-33398981

Research

Title
On a flexible extended homotopy perturbation method and its applications in applied chemistry
Type
JournalPaper
Keywords
Fractional nonlinear partial differential equations · Ji Huan He derivative · Extended homotopy perturbation method
Year
2020
Journal JOURNAL OF MATHEMATICAL CHEMISTRY
DOI
Researchers Khosro Sayevand

Abstract

In this study, a new extension of the concept of the homotopy perturbation method is presented. Based on the proposed method, the nonlinear partial differential equa- tions of fractional order that appeared in the applied chemistry are investigated. The fractional derivative is described in the Ji Huan He sense and the uniqueness of the solution and convergence of the proposed method is proved. Finally, some numeri- cal examples are investigated. The obtained results are in good agreement with the existing ones in open literature and it is shown that the present method is very effec- tive and accurate