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

^*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

72 Atıf (Scopus)

Özet

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

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1777-1782
Sayfa sayısı	6
Dergi	Communications in Nonlinear Science and Numerical Simulation
Hacim	15
Basın numarası	7
DOI'lar	https://doi.org/10.1016/j.cnsns.2009.07.014
Yayın durumu	Yayınlandı - Tem 2010
Harici olarak yayınlandı	Evet

Belgeye Erişim

10.1016/j.cnsns.2009.07.014

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Approximate analytical solution for the fractional modified KdV by differential transform method",

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",

keywords = "Caputo fractional derivative, Differential transform method, Fractional differential equation, fKdV, fmKdV",

author = "Muhammet Kurulay and Mustafa Bayram",

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T1 - Approximate analytical solution for the fractional modified KdV by differential transform method

AU - Kurulay, Muhammet

AU - Bayram, Mustafa

PY - 2010/7

Y1 - 2010/7

N2 - 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

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

UR - http://www.scopus.com/inward/record.url?scp=74449086085&partnerID=8YFLogxK

U2 - 10.1016/j.cnsns.2009.07.014

DO - 10.1016/j.cnsns.2009.07.014

M3 - Article

AN - SCOPUS:74449086085

SN - 1007-5704

VL - 15

SP - 1777

EP - 1782

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

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

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