# Homotopy analysis method for fractional IVPs

Ishak Hashim, O. Abdulaziz, S. Momani

Research output: Contribution to journalArticle

271 Citations (Scopus)

### 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 674-684 11 Communications in Nonlinear Science and Numerical Simulation 14 3 https://doi.org/10.1016/j.cnsns.2007.09.014 Published - Mar 2009

### Fingerprint

Homotopy Analysis Method
Initial value problems
boundary value problems
Initial Value Problem
Fractional
Fractional Derivative
High Efficiency
Analytical Solution
High Accuracy
Derivatives

### Keywords

• Caputo's fractional derivative
• Fractional IVPs
• Homotopy analysis method

### ASJC Scopus subject areas

• Mechanical Engineering
• Statistical and Nonlinear Physics

### Cite this

Homotopy analysis method for fractional IVPs. / Hashim, Ishak; Abdulaziz, O.; Momani, S.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 14, No. 3, 03.2009, p. 674-684.

Research output: Contribution to journalArticle

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