Jacobi Elliptic Numerical Solutions for the Time Fractional Variant Boussinesq Equations

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Volume 27, Issue 3

Khaled A. Gepreel

DOI: 10.4208/jpde.v27.n3.1

J. Part. Diff. Eq., 27 (2014), pp. 189-199.

Published online: 2014-09

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Abstract

The fractional derivatives in the sense of Caputo, and the homotopy perturbation method are used to construct the approximate solutions for nonlinear variant Boussinesq equations with respect to time fractional derivative. This method is efficient and powerful in solving wide classes of nonlinear evolution fractional order equations.

Keywords

Homotopy perturbation method fractional calculus nonlinear time fractional variant Boussinesq equations

AMS Subject Headings

02.30.Jr

Email address

kagepreel@yahoo.com (Khaled A. Gepreel)

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@Article{JPDE-27-189, author = {Gepreel , Khaled A.}, title = {Jacobi Elliptic Numerical Solutions for the Time Fractional Variant Boussinesq Equations}, journal = {Journal of Partial Differential Equations}, year = {2014}, volume = {27}, number = {3}, pages = {189--199}, abstract = { The fractional derivatives in the sense of Caputo, and the homotopy perturbation method are used to construct the approximate solutions for nonlinear variant Boussinesq equations with respect to time fractional derivative. This method is efficient and powerful in solving wide classes of nonlinear evolution fractional order equations.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v27.n3.1}, url = {http://global-sci.org/intro/article_detail/jpde/5136.html} }

TY - JOUR T1 - Jacobi Elliptic Numerical Solutions for the Time Fractional Variant Boussinesq Equations AU - Gepreel , Khaled A. JO - Journal of Partial Differential Equations VL - 3 SP - 189 EP - 199 PY - 2014 DA - 2014/09 SN - 27 DO - http://doi.org/10.4208/jpde.v27.n3.1 UR - https://global-sci.org/intro/article_detail/jpde/5136.html KW - Homotopy perturbation method KW - fractional calculus KW - nonlinear time fractional variant Boussinesq equations AB - The fractional derivatives in the sense of Caputo, and the homotopy perturbation method are used to construct the approximate solutions for nonlinear variant Boussinesq equations with respect to time fractional derivative. This method is efficient and powerful in solving wide classes of nonlinear evolution fractional order equations.

Gepreel , Khaled A.. (2014). Jacobi Elliptic Numerical Solutions for the Time Fractional Variant Boussinesq Equations. Journal of Partial Differential Equations. 27 (3). 189-199. doi:10.4208/jpde.v27.n3.1

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