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Homotopy analysis method for solving Abel differential equation of fractional order

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Central European Journal of Physics

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.

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Authors and Affiliations

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

    Hossein Jafari & Haleh Tajadodi

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

    Khosro Sayevand

  3. Faculty of Art and Sciences, Department of Mathematics and Computer Sciences, Çankaya University, Ankara, Turkey

    Dumitru Baleanu

  4. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, 21589, Saudi Arabia

    Dumitru Baleanu

  5. Institute of Space Sciences, MG-23, R 76900, Magurele-Bucharest, Romania

    Dumitru Baleanu

Authors
  1. Hossein Jafari
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  2. Khosro Sayevand
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  3. Haleh Tajadodi
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  4. Dumitru Baleanu
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Corresponding author

Correspondence to Hossein Jafari.

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Jafari, H., Sayevand, K., Tajadodi, H. et al. Homotopy analysis method for solving Abel differential equation of fractional order. centr.eur.j.phys. 11, 1523–1527 (2013). https://doi.org/10.2478/s11534-013-0209-1

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  • DOI: https://doi.org/10.2478/s11534-013-0209-1

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