Solution of fuzzy fractional differential equations using homotopy analysis method

Authors

  • Meng Oon Lee Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur.
  • N. Kumaresan Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur.
  • Kuru Ratnavelu Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur.

DOI:

https://doi.org/10.11113/matematika.v32.n2.931

Abstract

This paper presents an efficient analytical solution for fuzzy fractional differential equations (FDEs) using homotopy analysis method. HAM is the generalization of various methods like homotopy perturbation method and Adomian decomposition method. The main advantage is its rapid convergence to the solution without using perturbation or restrictive assumptions. Illustrative numerical example are presented for the proposed method.

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Published

27-04-2017

Issue

Volume 32 (December 2016)

Section

Articles

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Solution of fuzzy fractional differential equations using homotopy analysis method. (2017). MATEMATIKA, 32(2), 113-119. https://doi.org/10.11113/matematika.v32.n2.931