Homotopy Analysis Method for Solving Abel Differential Equation of Fractional Order

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Abstract

In this study, the homotopy analysis method is used for solving the Abel differential equation with fractional order within the Caputo sense. Stabilityand convergence of the proposed approach is investigated. The numerical results demonstrate that the homotopy analysis method is accurate and readily implemented.

Description

Tajadodi, Haleh/0000-0001-8369-3698; Jafari, Hossein/0000-0001-6807-6675

Keywords

Abel Differential Equation, Fractional Derivative, Homotopy Analysis Method, Physics, QC1-999, homotopy analysis method, fractional derivative, abel differential equation

Fields of Science

0103 physical sciences, 0101 mathematics, 01 natural sciences

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OpenCitations Citation Count
5

Volume

11

Issue

10

Start Page

1523

End Page

1527
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CrossRef : 4

Scopus : 26

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Mendeley Readers : 15

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