Nonlinear Fuzzy Differential Equation with Time Delay and Optimal Control Problem
The existence and uniqueness of a mild solution to nonlinear fuzzy differential equation constrained by initial value were proven. Initial value constraint was then replaced by delay function constraint and the existence of a solution to this type of problem was also proven. Furthermore, the existen...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/659072 |
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| _version_ | 1832554621187391488 |
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| author | Wichai Witayakiattilerd |
| author_facet | Wichai Witayakiattilerd |
| author_sort | Wichai Witayakiattilerd |
| collection | DOAJ |
| description | The existence and uniqueness of a mild solution to nonlinear fuzzy differential equation constrained by initial value were proven. Initial value constraint was then replaced by delay function constraint and the existence of a solution to this type of problem was also proven. Furthermore, the existence of a solution to optimal control problem of the latter type of equation was proven. |
| format | Article |
| id | doaj-art-27ce8b0cb8f64386add07086214d8114 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-27ce8b0cb8f64386add07086214d81142025-02-03T05:51:02ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/659072659072Nonlinear Fuzzy Differential Equation with Time Delay and Optimal Control ProblemWichai Witayakiattilerd0Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok 10520, ThailandThe existence and uniqueness of a mild solution to nonlinear fuzzy differential equation constrained by initial value were proven. Initial value constraint was then replaced by delay function constraint and the existence of a solution to this type of problem was also proven. Furthermore, the existence of a solution to optimal control problem of the latter type of equation was proven.http://dx.doi.org/10.1155/2015/659072 |
| spellingShingle | Wichai Witayakiattilerd Nonlinear Fuzzy Differential Equation with Time Delay and Optimal Control Problem Abstract and Applied Analysis |
| title | Nonlinear Fuzzy Differential Equation with Time Delay and Optimal Control Problem |
| title_full | Nonlinear Fuzzy Differential Equation with Time Delay and Optimal Control Problem |
| title_fullStr | Nonlinear Fuzzy Differential Equation with Time Delay and Optimal Control Problem |
| title_full_unstemmed | Nonlinear Fuzzy Differential Equation with Time Delay and Optimal Control Problem |
| title_short | Nonlinear Fuzzy Differential Equation with Time Delay and Optimal Control Problem |
| title_sort | nonlinear fuzzy differential equation with time delay and optimal control problem |
| url | http://dx.doi.org/10.1155/2015/659072 |
| work_keys_str_mv | AT wichaiwitayakiattilerd nonlinearfuzzydifferentialequationwithtimedelayandoptimalcontrolproblem |