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A new method for solving fuzzy integro-differential equation under generalized differentiability

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Abstract

In this paper, a new approach for solving fuzzy integro-differential equations (FIDEs) with fuzzy initial value is considered under strongly generalized H-differentiability. Notice the point that this method is used for fuzzy integro-differential equations with trapezoid fuzzy initial value. The idea of the presented approach is constructed based on the extending of 0-cut and 1-cut solutions of original FIDEs. The solution of FIDE will be found by considering convex combination of 0-cut and 1-cut solutions. The obtained solution will be exact by choosing the different types of derivatives.

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Authors and Affiliations

  1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, 14515/775, Iran

    T. Allahviranloo, S. Abbasbandy, O. Sedaghgatfar & P. Darabi

Authors
  1. T. Allahviranloo
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  2. S. Abbasbandy
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  3. O. Sedaghgatfar
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  4. P. Darabi
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Correspondence to T. Allahviranloo.

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Allahviranloo, T., Abbasbandy, S., Sedaghgatfar, O. et al. A new method for solving fuzzy integro-differential equation under generalized differentiability. Neural Comput & Applic 21 (Suppl 1), 191–196 (2012). https://doi.org/10.1007/s00521-011-0759-3

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  • DOI: https://doi.org/10.1007/s00521-011-0759-3

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