Current Proceedings on Technology

Yazarlar: S. Salahshour, T. Allahviranloo

Konular:-

Anahtar Kelimeler:Keywords. Fuzzy dfferential equations,Generalized differentiability,Inner and outer estimation problems.

Özet: Recently, numerically solving fuzzy differential equations have been studied by several authors due to many real applications. In this paper, we consider new problems in the theory of fuzzy differential equations FDEs and inclusions, i.e., finding inner and outer estimation problems. Indeed, we find some new solution set, include the hull solution of original FDEs which so called the outer estimation of FDE and also we find another new solution set which is subset of hull solution set so called inner estimation of FDE. Clearly, these solution sets have common interpretations which can be considered as approximated solutions for the original FDE. Moreover, we provide some theoretical discussions about proposed methodology. At the end, some well-known examples have been examined by the mentioned approach.

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