Solving fractional diffusion and wave equations by modified homotopy perturbation method

Hossein Jafari; Shaher Momani

doi:10.1016/j.physleta.2007.05.118

Solving fractional diffusion and wave equations by modified homotopy perturbation method

Hossein Jafari
, Shaher Momani

Mazandaran University
Qatar University

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

135 Scopus citations

Abstract

This Letter applies the modified He's homotopy perturbation method (HPM) suggested by Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and wave equations. The fractional derivative is described in the Caputo sense. Some illustrative examples are given, revealing the effectiveness and convenience of the method.

Original language	English
Pages (from-to)	388-396
Number of pages	9
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	370
Issue number	5-6
DOIs	https://doi.org/10.1016/j.physleta.2007.05.118
State	Published - 29 Oct 2007
Externally published	Yes

Keywords

Caputo fractional derivative
Fractional diffusion equation
Fractional partial differential equation
Fractional wave equation
Homotopy perturbation method

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10.1016/j.physleta.2007.05.118

Cite this

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title = "Solving fractional diffusion and wave equations by modified homotopy perturbation method",

abstract = "This Letter applies the modified He's homotopy perturbation method (HPM) suggested by Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and wave equations. The fractional derivative is described in the Caputo sense. Some illustrative examples are given, revealing the effectiveness and convenience of the method.",

keywords = "Caputo fractional derivative, Fractional diffusion equation, Fractional partial differential equation, Fractional wave equation, Homotopy perturbation method",

author = "Hossein Jafari and Shaher Momani",

year = "2007",

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T1 - Solving fractional diffusion and wave equations by modified homotopy perturbation method

AU - Jafari, Hossein

AU - Momani, Shaher

PY - 2007/10/29

Y1 - 2007/10/29

N2 - This Letter applies the modified He's homotopy perturbation method (HPM) suggested by Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and wave equations. The fractional derivative is described in the Caputo sense. Some illustrative examples are given, revealing the effectiveness and convenience of the method.

AB - This Letter applies the modified He's homotopy perturbation method (HPM) suggested by Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and wave equations. The fractional derivative is described in the Caputo sense. Some illustrative examples are given, revealing the effectiveness and convenience of the method.

KW - Caputo fractional derivative

KW - Fractional diffusion equation

KW - Fractional partial differential equation

KW - Fractional wave equation

KW - Homotopy perturbation method

UR - https://www.scopus.com/pages/publications/35348938590

U2 - 10.1016/j.physleta.2007.05.118

DO - 10.1016/j.physleta.2007.05.118

M3 - Article

AN - SCOPUS:35348938590

SN - 0375-9601

VL - 370

SP - 388

EP - 396

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5-6

ER -

Solving fractional diffusion and wave equations by modified homotopy perturbation method

Abstract

Keywords

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