A Fuzzy Random Boundary Value Problem
A system of generalized fuzzy random differential equations with boundary conditions is investigated, which is a fuzzy version of a system of general random differential equations. We first present random fixed point (RFP) theorems in fuzzy metric space (FM). In the sequel, we define the operators t...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/11/8/414 |
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| author | Hari M. Srivastava Reza Chaharpashlou Reza Saadati Chenkuan Li |
| author_facet | Hari M. Srivastava Reza Chaharpashlou Reza Saadati Chenkuan Li |
| author_sort | Hari M. Srivastava |
| collection | DOAJ |
| description | A system of generalized fuzzy random differential equations with boundary conditions is investigated, which is a fuzzy version of a system of general random differential equations. We first present random fixed point (RFP) theorems in fuzzy metric space (FM). In the sequel, we define the operators that are of integral type. Furthermore, these operators are related to a part of random differential equations (RDE). For the desired system with boundary conditions, we study the suitable integral operators associated with a large family of random differential equations. Finally, we prove the existence of a unique random solution (EURS). |
| first_indexed | 2024-03-09T04:41:03Z |
| format | Article |
| id | doaj.art-795fe88e806f40478349222005ad905e |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T04:41:03Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-795fe88e806f40478349222005ad905e2023-12-03T13:20:10ZengMDPI AGAxioms2075-16802022-08-0111841410.3390/axioms11080414A Fuzzy Random Boundary Value ProblemHari M. Srivastava0Reza Chaharpashlou1Reza Saadati2Chenkuan Li3Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, CanadaDepartment of Mathematics, Jundi-Shapur University of Technology, Dezful 64615-334, IranSchool of Mathematics, Iran University of Science and Technology, Narmak, Tehran 13114-16846, IranDepartment of Mathematics and Computer Science, Brandon University, Brandon, MB R7A 6A9, CanadaA system of generalized fuzzy random differential equations with boundary conditions is investigated, which is a fuzzy version of a system of general random differential equations. We first present random fixed point (RFP) theorems in fuzzy metric space (FM). In the sequel, we define the operators that are of integral type. Furthermore, these operators are related to a part of random differential equations (RDE). For the desired system with boundary conditions, we study the suitable integral operators associated with a large family of random differential equations. Finally, we prove the existence of a unique random solution (EURS).https://www.mdpi.com/2075-1680/11/8/414measurable spacerandom ODErandom FPTfuzzyvector-valued normed space |
| spellingShingle | Hari M. Srivastava Reza Chaharpashlou Reza Saadati Chenkuan Li A Fuzzy Random Boundary Value Problem Axioms measurable space random ODE random FPT fuzzy vector-valued normed space |
| title | A Fuzzy Random Boundary Value Problem |
| title_full | A Fuzzy Random Boundary Value Problem |
| title_fullStr | A Fuzzy Random Boundary Value Problem |
| title_full_unstemmed | A Fuzzy Random Boundary Value Problem |
| title_short | A Fuzzy Random Boundary Value Problem |
| title_sort | fuzzy random boundary value problem |
| topic | measurable space random ODE random FPT fuzzy vector-valued normed space |
| url | https://www.mdpi.com/2075-1680/11/8/414 |
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