Ulam–Hyers stability of Caputo-type fractional fuzzy stochastic differential equations with delay
We explore a new kind of Caputo-type fractional fuzzy stochastic differential equations (FFSDEs) with delay. We establish the existence result of FFSDEs with delay by monotone iterative technique combined with the method of upper and lower solutions, and then the uniqueness is proved. Subsequently,...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/147908 |
| Acceso en línea: | https://hdl.handle.net/11441/147908 https://doi.org/10.1016/j.cnsns.2023.107229 |
| Access Level: | acceso abierto |
| Palabra clave: | Fuzzy stochastic differential equations Fractional calculus Ulam–Hyers stability Existence and uniqueness |
| Sumario: | We explore a new kind of Caputo-type fractional fuzzy stochastic differential equations (FFSDEs) with delay. We establish the existence result of FFSDEs with delay by monotone iterative technique combined with the method of upper and lower solutions, and then the uniqueness is proved. Subsequently, we study the Ulam–Hyers (U–H) stability. Finally, three examples with numerical simulations are provided to illustrate the theoretical results. |
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