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Variational iteration method - a promising technique for constructing equivalent integral equations of fractional order

100%

Wang Y.-H., Wu G.-C., Baleanu D.

Open Physics

2013

vol. 11

issue 10

1392-1398

The variational iteration method is newly used to construct various integral equations of fractional order. Some iterative schemes are proposed which fully use the method and the predictor-corrector approach. The fractional Bagley-Torvik equation is then illustrated as an example of multi-order and the results show the efficiency of the variational iteration method’s new role.

Solving nonlinear evolution equation system using two different methods

88%

Kaplan M., Bekir A., Ozer M. N.

Open Physics

2015

vol. 13

issue 1

This paper deals with constructing more general exact solutions of the coupled Higgs equation by using the (G0/G, 1/G)-expansion and (1/G0)-expansion methods. The obtained solutions are expressed by three types of functions: hyperbolic, trigonometric and rational functions with free parameters. It has been shown that the suggested methods are productive and will be used to solve nonlinear partial differential equations in applied mathematics and engineering. Throughout the paper, all the calculations are made with the aid of the Maple software.

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2 Open Physics

1 2015

1 2013

1 Baleanu D.

1 Bekir A.

1 Kaplan M.

1 Ozer M. N.

1 Wang Y.-H.

1 Wu G.-C.

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Variational iteration method - a promising technique for constructing equivalent integral equations of fractional order

Solving nonlinear evolution equation system using two different methods