Existence and uniqueness of solution for fuzzy random differential equations with non-Lipschitz coefficients
In this paper, a class of fuzzy random differential equations with non-Lipschitz coefficients is studied. The existence and uniqueness of solutions for fuzzy random differential equations with non-Lipschitz coefficients is first proved. Then the dependence of fuzzy random differential equations on initial values is discussed. Finally the non-confluence property of the solution for fuzzy random differential equation is investigated. Our main tool is the Gronwall lemma. (c) 2007 Elsevier Inc. All rights reserved.
existence and uniqueness fuzzy random differential equation non-lipschitz coefficients gronwall lemma fuzzy random variables