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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2018, Volume 21, Number 2, Pages 171–183
DOI: https://doi.org/10.15372/SJNM20180204 (Mi sjvm676) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Analytical approach to solution fractional partial differential equation by optimal q-homotopy analysis method

R. Darzia, B. Aghelib

a Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran
b Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
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DOI: https://doi.org/10.15372/SJNM20180204
Abstract: The optimal q-homotopy analysis method is employed in order to solve partial differential equations (PDEs) featuring a time-fractional derivative. Then, in order to illustrate the simplicity and ability of the suggested approach, some specific and clear examples are given. All numerical calculations in this manuscript have been carried out with Mathematica package.
Key words: nonlinear fractional partial differential equation, optimal q-homotopy analysis method, Caputo derivative.
Received: 29.09.2016
Revised: 01.08.2017
English version:
Numerical Analysis and Applications, 2018, Volume 11, Issue 2, Pages 134–145
DOI: https://doi.org/10.1134/S1995423918020040
Bibliographic databases:
Document Type: Article
MSC: 14F35, 26A33, 35R11
Language: Russian
Citation: R. Darzi, B. Agheli, “Analytical approach to solution fractional partial differential equation by optimal q-homotopy analysis method”, Sib. Zh. Vychisl. Mat., 21:2 (2018), 171–183; Num. Anal. Appl., 11:2 (2018), 134–145
Citation in format AMSBIB
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