Homotopy analysis method for fractional IVPs

I. Hashim; O. Abdulaziz; S. Momani

doi:10.1016/j.cnsns.2007.09.014

Homotopy analysis method for fractional IVPs

I. Hashim
, O. Abdulaziz
, S. Momani

Universiti Kebangsaan Malaysia
Qatar University

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

412 Scopus citations

Abstract

In this paper, the homotopy analysis method is applied to solve linear and nonlinear fractional initial-value problems (fIVPs). The fractional derivatives are described by Caputo's sense. Exact and/or approximate analytical solutions of the fIVPs are obtained. The results of applying this procedure to the studied cases show the high accuracy and efficiency of the approach.

Original language	English
Pages (from-to)	674-684
Number of pages	11
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	14
Issue number	3
DOIs	https://doi.org/10.1016/j.cnsns.2007.09.014
State	Published - Mar 2009
Externally published	Yes

Keywords

Caputo's fractional derivative
Fractional IVPs
Homotopy analysis method

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10.1016/j.cnsns.2007.09.014

Cite this

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title = "Homotopy analysis method for fractional IVPs",

abstract = "In this paper, the homotopy analysis method is applied to solve linear and nonlinear fractional initial-value problems (fIVPs). The fractional derivatives are described by Caputo's sense. Exact and/or approximate analytical solutions of the fIVPs are obtained. The results of applying this procedure to the studied cases show the high accuracy and efficiency of the approach.",

keywords = "Caputo's fractional derivative, Fractional IVPs, Homotopy analysis method",

author = "I. Hashim and O. Abdulaziz and S. Momani",

year = "2009",

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doi = "10.1016/j.cnsns.2007.09.014",

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T1 - Homotopy analysis method for fractional IVPs

AU - Hashim, I.

AU - Abdulaziz, O.

AU - Momani, S.

PY - 2009/3

Y1 - 2009/3

N2 - In this paper, the homotopy analysis method is applied to solve linear and nonlinear fractional initial-value problems (fIVPs). The fractional derivatives are described by Caputo's sense. Exact and/or approximate analytical solutions of the fIVPs are obtained. The results of applying this procedure to the studied cases show the high accuracy and efficiency of the approach.

AB - In this paper, the homotopy analysis method is applied to solve linear and nonlinear fractional initial-value problems (fIVPs). The fractional derivatives are described by Caputo's sense. Exact and/or approximate analytical solutions of the fIVPs are obtained. The results of applying this procedure to the studied cases show the high accuracy and efficiency of the approach.

KW - Caputo's fractional derivative

KW - Fractional IVPs

KW - Homotopy analysis method

UR - https://www.scopus.com/pages/publications/50249146464

U2 - 10.1016/j.cnsns.2007.09.014

DO - 10.1016/j.cnsns.2007.09.014

M3 - Article

AN - SCOPUS:50249146464

SN - 1007-5704

VL - 14

SP - 674

EP - 684

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 3

ER -

Homotopy analysis method for fractional IVPs

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Keywords

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