The Cauchy problem of fuzzy differential equations under generalized differentiability

@article{Li2012TheCP,
  title={The Cauchy problem of fuzzy differential equations under generalized differentiability},
  author={Jinxian Li and Aimin Zhao and Jurang Yan},
  journal={Fuzzy Sets and Systems},
  year={2012},
  volume={200},
  pages={1-24}
}
The generalization of the concept of H-differentiability can be of great help in the dynamic study of fuzzy differential equations. In this paper, the concept of generalized differentiability is described from a new perspective. On the basis of this concept, the class of differentiable fuzzy set-valued mappings is enlarged. The Cauchy problem for fuzzy differential equations is investigated in this enlarged setting. As a result, some new solutions are obtained. The lengths of the support sets… CONTINUE READING

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