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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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