Existence and uniqueness of a fuzzy solution for the nonlinear fuzzy neutral functional differential equation
β Scribed by P. Balasubramaniam; S. Muralisankar
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 326 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
This work is concerned with a class of nonlinear fuzzy neutral functional differential equations. Specifically, existence and uniqueness of fuzzy solutions for the nonlinear fuzzy neutral functional differential equation
where A is a fuzzy coefficient and f and g are continuous functions, are established via Banach fixed-point analysis approach and using the fuzzy number whose values are normal, convex upper semicontinuous, and compactly supported interval in EN.
π SIMILAR VOLUMES
The existence and uniqueness theorem is obtained Ε½ . Ε½ Ε½ .. Ε½ . for the solution of the Cauchy problem xΠ t s f t, x t , x t s x , for the 0 0 fuzzy-valued mappings of a real variable whose values are normal, convex, upper semicontinuous, and compactly supported fuzzy sets in R n , where the functio
In this paper, the existence and uniqueness of a fuzzy solution for the semilinear fuzzy integrodifferential equation is established via the Banach fixed-point analysis approach and using the fuzzy number whose values are normal, convex upper semicontinuous, and compactly supported interval in EN.
In this paper, using the properties of a differential and integral calculus for fuzzy set valued mappings and completeness of metric space of fuzzy numbers, the global existence, uniqueness and the continuous dependence of a solution on a fuzzy differential equation are derived under the dissipative