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Homotopy analysis method for fractional IVPs

✍ Scribed by I. Hashim; O. Abdulaziz; S. Momani

Book ID
108096818
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
169 KB
Volume
14
Category
Article
ISSN
1007-5704

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Application of homotopy-perturbation met
Application of homotopy-perturbation method to fractional IVPs
✍ O. Abdulaziz; I. Hashim; S. Momani πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 163 KB

Fractional initial-value problems (fIVPs) arise from many fields of physics and play a very important role in various branches of science and engineering. Finding accurate and efficient methods for solving fIVPs has become an active research undertaking. In this paper, both linear and nonlinear fIVP