Homotopy analysis method for solving Abel differential equation of fractional order

• Authors: Hossein Jafari , Khosro Sayevand , Haleh Tajadodi , Dumitru Baleanu
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

Abel differential equation; fractional derivative; homotopy analysis method

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 10
• Pages: 1523-1527

Dates

published

1 - 10 - 2013

online

19 - 12 - 2013

Contributors

author

Hossein Jafari

• Department of Mathematics, University of Mazandaran, P.O. Box 47416-95447, Babolsar, Iran

author

Khosro Sayevand

• Department of Mathematics, Faculty of Basic Sciences, University of Malayer, P.O. Box 65719-95863, Malayer, Iran

author

Haleh Tajadodi

• Department of Mathematics, University of Mazandaran, P.O. Box 47416-95447, Babolsar, Iran

author

Dumitru Baleanu

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Identifiers

DOI

10.2478/s11534-013-0209-1