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Chebyshev Wavelets Method for Solution of Nonlinear Fractional Integrodifferential Equations in a Large Interval

Author

Listed:
  • M. H. Heydari
  • M. R. Hooshmandasl
  • F. M. Maalek Ghaini
  • Ming Li

Abstract

An efficient Chebyshev wavelets method for solving a class of nonlinear fractional integrodifferential equations in a large interval is developed, and a new technique for computing nonlinear terms in such equations is proposed. Existence of a unique solution for such equations is proved. Convergence and error analysis of the proposed method are investigated. Moreover in order to show efficiency of the proposed method, the new approach is compared with some numerical methods.

Suggested Citation

  • M. H. Heydari & M. R. Hooshmandasl & F. M. Maalek Ghaini & Ming Li, 2013. "Chebyshev Wavelets Method for Solution of Nonlinear Fractional Integrodifferential Equations in a Large Interval," Advances in Mathematical Physics, Hindawi, vol. 2013, pages 1-12, October.
    • Handle: RePEc:hin:jnlamp:482083
    DOI: 10.1155/2013/482083
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    Cited by:

    1. Heydari, M.H. & Avazzadeh, Z. & Mahmoudi, M.R., 2019. "Chebyshev cardinal wavelets for nonlinear stochastic differential equations driven with variable-order fractional Brownian motion," Chaos, Solitons & Fractals, Elsevier, vol. 124(C), pages 105-124.

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