CONTROLLED FUZZY EVOLUTION EQUATIONS

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Journal of Universal Mathematics
Volume:1 Issue:2
CONTROLLED FUZZY EVOLUTION EQUATIONS

CONTROLLED FUZZY EVOLUTION EQUATIONS

Authors : Said Melliani, Abdelati El Allaoui, Lalla Saadia CHADLİ

Pages : 155-165

View : 13 | Download : 5

Publication Date : 2018-07-31

Article Type : Research Paper

Abstract :This paper is concerned with controlled fuzzy nonlinear evolution equations of the form u`insert ignore into journalissuearticles values(t); = Auinsert ignore into journalissuearticles values(t); + finsert ignore into journalissuearticles values(t, uinsert ignore into journalissuearticles values(t);, uinsert ignore into journalissuearticles values(rhoinsert ignore into journalissuearticles values(insert ignore into journalissuearticles values(t);); + Binsert ignore into journalissuearticles values(t);cinsert ignore into journalissuearticles values(t);; t in [t_0; t_1] and uinsert ignore into journalissuearticles values(t_0); = u_0. Where cinsert ignore into journalissuearticles values(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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