Said Melliani, Abdelati El Allaoui, Lalla Saadia CHADLİ

CONTROLLED FUZZY EVOLUTION EQUATIONS

This paper is concerned with controlled fuzzy nonlinear evolution equations of the form u'(t) = Au(t) + f(t, u(t), u(rho((t)) + B(t)c(t); t in [t_0; t_1] and u(t_0) = u_0. Where c(t) is a fuzzy control, the operator A generate a fuzzy semigroup. We use the fuzzy strongly continuous semigroups theory to prove the existence, uniqueness and some properties of mild solutions.

Keywords:

Fuzzy sets, evolution equation,

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