EXISTENCE AND UNIQUENESS RESULTS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS

Authors : LS Chadli, S Melliani, K Hilal, A Kajouni

Pages : 9-14

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Publication Date : 2018-01-01

Article Type : Research Paper

Abstract :In this paper, we discus the existence and uniqueness of mild solution to the fuzzy Cauchy Problem for the fractional differential equation with nonlocal Dqxinsert ignore into journalissuearticles values(t); = Axinsert ignore into journalissuearticles values(t); + tnfinsert ignore into journalissuearticles values(t, xinsert ignore into journalissuearticles values(t);, Bxinsert ignore into journalissuearticles values(t););, t ∈ [0, T], n ∈ Z+, xinsert ignore into journalissuearticles values(0); = x0 + ginsert ignore into journalissuearticles values(x); where 0 < q < 1, A is the generator of the fuzzy strongly semigroup insert ignore into journalissuearticles values(Sinsert ignore into journalissuearticles values(t););t≥0 on En.
Keywords : Fractional differential equation, Fuzzy differential equations, Fuzzysolution, Initial value problem