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Solution of nonlinear fractional differential equations using an efficient approach

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Abstract

We present an efficient approach for solving nonlinear fractional differential equations. The convergence analysis of the approach is studied. To demonstrate the working of the presented approach, we consider three special cases of nonlinear fractional differential equations. The results of theses examples and comparison with different methods provide confirmation for the validity of the proposed approach.

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Acknowledgment

This research was partially supported by the Center of Excellence for Mathematics, University of Shahrekord, Iran.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China

    Y. Khan

  2. Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran

    M. Fardi

  3. Department of Mathematics, Faculty of Science, Malayer University, Malayer, Iran

    K. Sayevand

  4. Department of Applied Mathematics, Faculty of mathematical Science, Shahrekord University, P. O. Box 115, Shahrekord, Iran

    M. Ghasemi

Authors
  1. Y. Khan
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  2. M. Fardi
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  3. K. Sayevand
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  4. M. Ghasemi
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Correspondence to Y. Khan.

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Khan, Y., Fardi, M., Sayevand, K. et al. Solution of nonlinear fractional differential equations using an efficient approach. Neural Comput & Applic 24, 187–192 (2014). https://doi.org/10.1007/s00521-012-1208-7

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  • DOI: https://doi.org/10.1007/s00521-012-1208-7

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