Solving linear fractional-order differential equations via the enhanced homotopy perturbation method

E. Naseri; R. Ghaderi; A. Ranjbar N; J. Sadati; M. Mahmoudian; S. H. Hosseinnia; S. Momani

doi:10.1088/0031-8949/2009/T136/014035

Solving linear fractional-order differential equations via the enhanced homotopy perturbation method

E. Naseri
, R. Ghaderi
, A. Ranjbar N
, J. Sadati
, M. Mahmoudian
, S. H. Hosseinnia
, S. Momani

Babol Noshirvani University of Technology
Golestan University
University of Mutah

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

1 Scopus citations

Abstract

The linear fractional differential equation is solved using the enhanced homotopy perturbation method (EHPM). In this method, the convergence has been provided by selecting a stabilizing linear part. The most significant features of this method are its simplicity and its excellent accuracy and convergence for the whole range of fractional-order differential equations.

Original language	English
Article number	014035
Journal	Physica Scripta T
Volume	T136
DOIs	https://doi.org/10.1088/0031-8949/2009/T136/014035
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

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10.1088/0031-8949/2009/T136/014035

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title = "Solving linear fractional-order differential equations via the enhanced homotopy perturbation method",

abstract = "The linear fractional differential equation is solved using the enhanced homotopy perturbation method (EHPM). In this method, the convergence has been provided by selecting a stabilizing linear part. The most significant features of this method are its simplicity and its excellent accuracy and convergence for the whole range of fractional-order differential equations.",

author = "E. Naseri and R. Ghaderi and \{Ranjbar N\}, A. and J. Sadati and M. Mahmoudian and Hosseinnia, \{S. H.\} and S. Momani",

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doi = "10.1088/0031-8949/2009/T136/014035",

language = "English",

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journal = "Physica Scripta T",

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

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TY - JOUR

T1 - Solving linear fractional-order differential equations via the enhanced homotopy perturbation method

AU - Naseri, E.

AU - Ghaderi, R.

AU - Ranjbar N, A.

AU - Sadati, J.

AU - Mahmoudian, M.

AU - Hosseinnia, S. H.

AU - Momani, S.

PY - 2009

Y1 - 2009

N2 - The linear fractional differential equation is solved using the enhanced homotopy perturbation method (EHPM). In this method, the convergence has been provided by selecting a stabilizing linear part. The most significant features of this method are its simplicity and its excellent accuracy and convergence for the whole range of fractional-order differential equations.

AB - The linear fractional differential equation is solved using the enhanced homotopy perturbation method (EHPM). In this method, the convergence has been provided by selecting a stabilizing linear part. The most significant features of this method are its simplicity and its excellent accuracy and convergence for the whole range of fractional-order differential equations.

UR - https://www.scopus.com/pages/publications/77952794702

U2 - 10.1088/0031-8949/2009/T136/014035

DO - 10.1088/0031-8949/2009/T136/014035

M3 - Conference article

AN - SCOPUS:77952794702

SN - 0281-1847

VL - T136

JO - Physica Scripta T

JF - Physica Scripta T

M1 - 014035

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

Y2 - 5 November 2008 through 7 November 2008

ER -

Solving linear fractional-order differential equations via the enhanced homotopy perturbation method

Abstract

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