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**Approximate analytical solution for the fractional modified Kdv by differential transform method.**
*(English)*
Zbl 1222.35172

Summary: In this paper, the fractional modified Korteweg-de Vries equation (fmKdV) and fKdV are introduced by fractional derivatives. The approach rest mainly on two-dimensional differential transform method (DTM) which is one of the approximate methods. The method can easily be applied to many problems and is capable of reducing the size of computational work. The fractional derivative is described in the Caputo sense. Some illustrative examples are presented.

### MSC:

35Q53 | KdV equations (Korteweg-de Vries equations) |

### Keywords:

fractional differential equation; Caputo fractional derivative; differential transform method; fMkdV; fKdV### Software:

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\textit{M. Kurulay} and \textit{M. Bayram}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 7, 1777--1782 (2010; Zbl 1222.35172)

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