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The analytical solutions of the time-fractional Newell-Whithead equation by the method of modified homotopy perturbation and separating variables

H. Kheiri|H. Bagherpur|A. Mojaver
장전수학회 (Jangjeon Mathematical Society)|2014.10|Advanced Studies in Contemporary Mathematics|제24권 제4호|pp. 497-497

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키워드

Time-fractional Newell-Whitehead equationMittag-LefflerMethod of seperating variablesFractional calculus
주제분류수학

초록

In this article, the nonhomogeneous time-fractional Newell Whitehead equation with initial condition and Dirichlet and Neumann boundary conditions is solved by combining the modified homotopy perturbation method with separating variables method. The fractional derivative are described in Captuto sense. In Examples, we illustrate the by proper splitting of source term in the modified homotopy perturbation method, it is possible to obtain the analytical solution for given problems.

Abstract

In this article, the nonhomogeneous time-fractional Newell Whitehead equation with initial condition and Dirichlet and Neumann boundary conditions is solved by combining the modified homotopy perturbation method with separating variables method. The fractional derivative are described in Captuto sense. In Examples, we illustrate the by proper splitting of source term in the modified homotopy perturbation method, it is possible to obtain the analytical solution for given problems.

참고문헌 (21)

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