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Zbl 1231.65191
Koçak, Hüseyin; Öziş, Turgut; Y ild ir im, Ahmet
Homotopy perturbation method for the nonlinear dispersive $K(m,n,1)$ equations with fractional time derivatives. (English)
[J] Int. J. Numer. Methods Heat Fluid Flow 20, No. 2, 174-185 (2010). ISSN 0961-5539

Summary: This paper aims to apply He's homotopy perturbation method (HPM) to obtain solitary solutions for the nonlinear dispersive equations with fractional time derivatives. The authors choose as an example the nonlinear dispersive and equations with fractional time derivatives to illustrate the validity and the advantages of the proposed method. The paper extends the application of the HPM to obtain analytic and approximate solutions to the nonlinear dispersive equations with fractional time derivatives. This paper extends the HPM to the equation with fractional time derivative.

MSC 2000:: *65M99 Numerical methods for IVP of PDE
45K05 Integro-partial differential equations

Keywords: convection; fluids; microbiology; temperature distribution; thermal stability

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