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Solving fuzzy second-order nonlinear Volterra–Fredholm integro-differential equations by using Picard method

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Abstract

In this paper, Picard method is proposed to solve the fuzzy second-order nonlinear Volterra–Fredholm integro-differential equation (FVFIDE) with fuzzy initial conditions under generalized H-differentiability. The existence and uniqueness of the solution and convergence of the proposed method are proved in details. Finally, the method is illustrated by solving some examples.

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Authors and Affiliations

  1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

    Sh. S. Behzadi, T. Allahviranloo & S. Abbasbandy

Authors
  1. Sh. S. Behzadi
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  2. T. Allahviranloo
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  3. S. Abbasbandy
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Correspondence to Sh. S. Behzadi.

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Behzadi, S.S., Allahviranloo, T. & Abbasbandy, S. Solving fuzzy second-order nonlinear Volterra–Fredholm integro-differential equations by using Picard method. Neural Comput & Applic 21 (Suppl 1), 337–346 (2012). https://doi.org/10.1007/s00521-012-0926-1

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  • DOI: https://doi.org/10.1007/s00521-012-0926-1

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