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Sibirskii Zhurnal Vychislitel'noi Matematiki
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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
Full-text PDF (2724 kB) Citations (6)
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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
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  • https://www.mathnet.ru/eng/sjvm676
  • https://www.mathnet.ru/eng/sjvm/v21/i2/p171
    • This publication is cited in the following 6 articles:
    1. Süleyman Şengül, Zafer Bekiryazici, Mehmet Merdan, “Approximate Solutions of Fractional Differential Equations Using Optimal q-Homotopy Analysis Method: A Case Study of Abel Differential Equations”, Fractal Fract, 8:9 (2024), 533  crossref
    2. Eltaib M Abd Elmohmoud, Mohamed Z. Mohamed, “Numerical treatment of some fractional nonlinear equations by Elzaki transform”, Journal of Taibah University for Science, 16:1 (2022), 774  crossref
    3. Andrew Omame, Mujahid Abbas, Chibueze P. Onyenegecha, “A fractional order model for the co-interaction of COVID-19 and Hepatitis B virus”, Results in Physics, 37 (2022), 105498  crossref
    4. Z. Liu, Q. Wang, “A non-standard finite difference method for space fractional advection-diffusion equation”, Numer. Meth. Part Differ. Equ., 37:3 (2021), 2527–2539  crossref  mathscinet  isi  scopus
    5. A. El-Ajou, M. Al-Smadi, N. Oqielat Moa'ath, Sh. Momani, S. Hadid, “Smooth expansion to solve high-order linear conformable fractional pdes via residual power series method: applications to physical and engineering equations”, Ain Shams Eng. J., 11:4 (2020), 1243–1254  crossref  isi  scopus
    6. H. Khan, R. Shah, P. Kumam, D. Baleanu, M. Arif, “Laplace decomposition for solving nonlinear system of fractional order partial differential equations”, Adv. Differ. Equ., 2020:1 (2020), 375  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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