Abstract
In this paper, we investigate sufficient conditions for the existence of a solution for a dynamical system based on a metric structure \((G,u_N)\). Moreover, a slight variation in the assumptions allows to apply it for fuzzy functions. So, we study the existence of the solution to fuzzy differential equations under the concept of metric differentiability.
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Acknowledgments
This article was partially supported by Fapesp under grants no. 2022/00196-1 and 2020/09838-0 and by CNPq under grant no. 313313/2020-2.
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Shahidi, M., Rodríguez-López, R., Esmi, E. (2023). Some Existence Results for Fuzzy Differential Equations with a Metric-Basic Derivative of Type (ii). In: Massanet, S., Montes, S., Ruiz-Aguilera, D., González-Hidalgo, M. (eds) Fuzzy Logic and Technology, and Aggregation Operators. EUSFLAT AGOP 2023 2023. Lecture Notes in Computer Science, vol 14069. Springer, Cham. https://doi.org/10.1007/978-3-031-39965-7_5
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DOI: https://doi.org/10.1007/978-3-031-39965-7_5
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