Abstract
The purpose of this paper is to present some basic theories of an initial value problem of fuzzy fractional differential equations involving the Caputo-fuzzy-type concept of fractional derivative in the case of the order \(\alpha \in (1,2).\) The existence and uniqueness results of the solution for the given problem are presented. Finally, some examples are given to illustrate our main results.
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Acknowledgements
The author is very grateful to the referees for their valuable suggestions, which helped to improve the paper significantly. This research was funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant Number 107.02-2017.319.
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Hoa, N.V. On the initial value problem for fuzzy differential equations of non-integer order \(\alpha \in (1,2)\). Soft Comput 24, 935–954 (2020). https://doi.org/10.1007/s00500-019-04619-7
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DOI: https://doi.org/10.1007/s00500-019-04619-7