Nonlinear Fuzzy Differential Equation with Time Delay and Optimal Control Problem

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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Main Author: Wichai Witayakiattilerd
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/659072
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spelling doaj-27ce8b0cb8f64386add07086214d81142020-11-25T01:06:06ZengHindawi LimitedAbstract 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
collection DOAJ
language English
format Article
sources DOAJ
author Wichai Witayakiattilerd
spellingShingle Wichai Witayakiattilerd
Nonlinear Fuzzy Differential Equation with Time Delay and Optimal Control Problem
Abstract and Applied Analysis
author_facet Wichai Witayakiattilerd
author_sort Wichai Witayakiattilerd
title 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_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_sort nonlinear fuzzy differential equation with time delay and optimal control problem
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2015-01-01
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.
url http://dx.doi.org/10.1155/2015/659072
work_keys_str_mv AT wichaiwitayakiattilerd nonlinearfuzzydifferentialequationwithtimedelayandoptimalcontrolproblem
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