Approximate analytical solution for the fractional modified KdV by differential transform method

Muhammet Kurulay; Mustafa Bayram

doi:10.1016/j.cnsns.2009.07.014

Approximate analytical solution for the fractional modified KdV by differential transform method

Muhammet Kurulay^*, Mustafa Bayram

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

70 Citations (Scopus)

Abstract

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. Crown

Original language	English
Pages (from-to)	1777-1782
Number of pages	6
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	15
Issue number	7
DOIs	https://doi.org/10.1016/j.cnsns.2009.07.014
Publication status	Published - Jul 2010
Externally published	Yes

Keywords

Caputo fractional derivative
Differential transform method
Fractional differential equation
fKdV
fmKdV

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10.1016/j.cnsns.2009.07.014

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abstract = "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. Crown",

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author = "Muhammet Kurulay and Mustafa Bayram",

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AU - Bayram, Mustafa

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AB - 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. Crown

KW - Caputo fractional derivative

KW - Differential transform method

KW - Fractional differential equation

KW - fKdV

KW - fmKdV

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JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 7

ER -

Approximate analytical solution for the fractional modified KdV by differential transform method

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Keywords

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