Application of the enhanced homotopy perturbation method to solve the fractional-order Bagley-Torvik differential equation

M. Zolfaghari; R. Ghaderi; A. SheikholEslami; A. Ranjbar; S. H. Hosseinnia; S. Momani; J. Sadati

doi:10.1088/0031-8949/2009/T136/014032

Application of the enhanced homotopy perturbation method to solve the fractional-order Bagley-Torvik differential equation

M. Zolfaghari
, R. Ghaderi
, A. SheikholEslami
, A. Ranjbar
, S. H. Hosseinnia
, S. Momani
, J. Sadati

Babol Noshirvani University of Technology
Golestan University
University of Mutah

Research output: Contribution to journal › Conference article › peer-review

22 Scopus citations

Abstract

The enhanced homotopy perturbation method (EHPM) is applied for finding improved approximate solutions of the well-known Bagley-Torvik equation for three different cases. The main characteristic of the EHPM is using a stabilized linear part, which guarantees the stability and convergence of the overall solution. The results are finally compared with the Adams-Bashforth-Moulton numerical method, the Adomian decomposition method (ADM) and the fractional differential transform method (FDTM) to verify the performance of the EHPM.

Original language	English
Article number	014032
Journal	Physica Scripta T
Volume	T136
DOIs	https://doi.org/10.1088/0031-8949/2009/T136/014032
State	Published - 2009
Externally published	Yes
Event	3rd International Workshop on Fractional Differentiation and its Applications, FDA08 - Ankara, Turkey Duration: 5 Nov 2008 → 7 Nov 2008

Access to Document

10.1088/0031-8949/2009/T136/014032

Cite this

@article{99842ad386d948eab53366bf318ab2c8,

title = "Application of the enhanced homotopy perturbation method to solve the fractional-order Bagley-Torvik differential equation",

abstract = "The enhanced homotopy perturbation method (EHPM) is applied for finding improved approximate solutions of the well-known Bagley-Torvik equation for three different cases. The main characteristic of the EHPM is using a stabilized linear part, which guarantees the stability and convergence of the overall solution. The results are finally compared with the Adams-Bashforth-Moulton numerical method, the Adomian decomposition method (ADM) and the fractional differential transform method (FDTM) to verify the performance of the EHPM.",

author = "M. Zolfaghari and R. Ghaderi and A. SheikholEslami and A. Ranjbar and Hosseinnia, \{S. H.\} and S. Momani and J. Sadati",

year = "2009",

doi = "10.1088/0031-8949/2009/T136/014032",

language = "English",

volume = "T136",

journal = "Physica Scripta T",

issn = "0281-1847",

publisher = "Institute of Physics",

note = "3rd International Workshop on Fractional Differentiation and its Applications, FDA08 ; Conference date: 05-11-2008 Through 07-11-2008",

}

TY - JOUR

T1 - Application of the enhanced homotopy perturbation method to solve the fractional-order Bagley-Torvik differential equation

AU - Zolfaghari, M.

AU - Ghaderi, R.

AU - SheikholEslami, A.

AU - Ranjbar, A.

AU - Hosseinnia, S. H.

AU - Momani, S.

AU - Sadati, J.

PY - 2009

Y1 - 2009

N2 - The enhanced homotopy perturbation method (EHPM) is applied for finding improved approximate solutions of the well-known Bagley-Torvik equation for three different cases. The main characteristic of the EHPM is using a stabilized linear part, which guarantees the stability and convergence of the overall solution. The results are finally compared with the Adams-Bashforth-Moulton numerical method, the Adomian decomposition method (ADM) and the fractional differential transform method (FDTM) to verify the performance of the EHPM.

AB - The enhanced homotopy perturbation method (EHPM) is applied for finding improved approximate solutions of the well-known Bagley-Torvik equation for three different cases. The main characteristic of the EHPM is using a stabilized linear part, which guarantees the stability and convergence of the overall solution. The results are finally compared with the Adams-Bashforth-Moulton numerical method, the Adomian decomposition method (ADM) and the fractional differential transform method (FDTM) to verify the performance of the EHPM.

UR - https://www.scopus.com/pages/publications/77952807944

U2 - 10.1088/0031-8949/2009/T136/014032

DO - 10.1088/0031-8949/2009/T136/014032

M3 - Conference article

AN - SCOPUS:77952807944

SN - 0281-1847

VL - T136

JO - Physica Scripta T

JF - Physica Scripta T

M1 - 014032

T2 - 3rd International Workshop on Fractional Differentiation and its Applications, FDA08

Y2 - 5 November 2008 through 7 November 2008

ER -

Application of the enhanced homotopy perturbation method to solve the fractional-order Bagley-Torvik differential equation

Abstract

Access to Document

Other files and links

Fingerprint

Cite this