Abstract and Applied Analysis

Nonlinear Fuzzy Differential Equation with Time Delay and Optimal Control Problem

Wichai Witayakiattilerd

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2015 (2015), Article ID 659072, 14 pages.

Dates
First available in Project Euclid: 28 January 2016

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1453944253

Digital Object Identifier
doi:10.1155/2015/659072

Mathematical Reviews number (MathSciNet)
MR3437293

Zentralblatt MATH identifier
1348.34005

Citation

Witayakiattilerd, Wichai. Nonlinear Fuzzy Differential Equation with Time Delay and Optimal Control Problem. Abstr. Appl. Anal. 2015 (2015), Article ID 659072, 14 pages. doi:10.1155/2015/659072. https://projecteuclid.org/euclid.aaa/1453944253


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