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New approach for exact solutions of time fractional Cahn–Allen equation and time fractional Phi-4 equation

Hira Tariq and Ghazala Akram

Physica A: Statistical Mechanics and its Applications, 2017, vol. 473, issue C, 352-362

Abstract: In this article, new exact analytical solutions of some nonlinear evolution equations (NLEEs) arising in science, engineering and mathematical physics, namely time fractional Cahn–Allen equation and time fractional Phi-4 equation are developed using tanh method by means of fractional complex transform. The obtained results are demonstrated by graphs for the new solutions.

Keywords: Tanh method; Local fractional calculus; Fractional complex transform; Time fractional Cahn–Allen equation; Time fractional Phi-4 equations (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:473:y:2017:i:c:p:352-362

DOI: 10.1016/j.physa.2016.12.081

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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