This article is cited in 6 papers

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

R. Darzi^a, B. Agheli<sup>b

a</sup> Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran
^b Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

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.

MSC: 14F35, 26A33, 35R11

Received: 29.09.2016
Revised: 01.08.2017

DOI: 10.15372/SJNM20180204

 English version: Numerical Analysis and Applications, 2018, 11:2, 134–145

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