## Abstract and Applied Analysis

### Nonlinear Fuzzy Differential Equation with Time Delay and Optimal Control Problem

Wichai Witayakiattilerd

#### 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

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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