Global existence and uniqueness of solutions for fuzzy differential equations under dissipative-type conditions
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-type conditions. We also present the global existence and uniqueness of solutions for a fuzzy differential equation on a closed convex subset of fuzzy number space.
fuzzy differential equation dissipative-type conditions fuzzy number global existence and uniqueness theorem