Approximate analytical solution to fractional modified KdV equations

O. Abdulaziz; I. Hashim; E. S. Ismail

doi:10.1016/j.mcm.2008.01.005

Approximate analytical solution to fractional modified KdV equations

O. Abdulaziz
, I. Hashim
, E. S. Ismail

Universiti Kebangsaan Malaysia

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

47 Scopus citations

Abstract

In this paper, the fractional modified Korteweg-de Vries equation (fmKdV) is introduced by replacing the first-order time and space derivatives by fractional derivatives of order α and β with 0 < α, β ≤ 1. The homotopy-perturbation method (HPM) is applied to derive approximate analytical solutions to fmKdV.

Original language	English
Pages (from-to)	136-145
Number of pages	10
Journal	Mathematical and Computer Modelling
Volume	49
Issue number	1-2
DOIs	https://doi.org/10.1016/j.mcm.2008.01.005
State	Published - Jan 2009
Externally published	Yes

Keywords

Fractional differential equations
Fractional mKdV
Homotopy-perturbation method

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10.1016/j.mcm.2008.01.005

Cite this

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title = "Approximate analytical solution to fractional modified KdV equations",

abstract = "In this paper, the fractional modified Korteweg-de Vries equation (fmKdV) is introduced by replacing the first-order time and space derivatives by fractional derivatives of order α and β with 0 < α, β ≤ 1. The homotopy-perturbation method (HPM) is applied to derive approximate analytical solutions to fmKdV.",

keywords = "Fractional differential equations, Fractional mKdV, Homotopy-perturbation method",

author = "O. Abdulaziz and I. Hashim and Ismail, \{E. S.\}",

year = "2009",

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doi = "10.1016/j.mcm.2008.01.005",

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T1 - Approximate analytical solution to fractional modified KdV equations

AU - Abdulaziz, O.

AU - Hashim, I.

AU - Ismail, E. S.

PY - 2009/1

Y1 - 2009/1

N2 - In this paper, the fractional modified Korteweg-de Vries equation (fmKdV) is introduced by replacing the first-order time and space derivatives by fractional derivatives of order α and β with 0 < α, β ≤ 1. The homotopy-perturbation method (HPM) is applied to derive approximate analytical solutions to fmKdV.

AB - In this paper, the fractional modified Korteweg-de Vries equation (fmKdV) is introduced by replacing the first-order time and space derivatives by fractional derivatives of order α and β with 0 < α, β ≤ 1. The homotopy-perturbation method (HPM) is applied to derive approximate analytical solutions to fmKdV.

KW - Fractional differential equations

KW - Fractional mKdV

KW - Homotopy-perturbation method

UR - https://www.scopus.com/pages/publications/55549103342

U2 - 10.1016/j.mcm.2008.01.005

DO - 10.1016/j.mcm.2008.01.005

M3 - Article

AN - SCOPUS:55549103342

SN - 0895-7177

VL - 49

SP - 136

EP - 145

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 1-2

ER -

Approximate analytical solution to fractional modified KdV equations

Abstract

Keywords

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