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

Authors : L. S. Chadli, S. Melliani, K. Hilal, A. Kajouni

Pages : 9-14

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Publication Date : 2018-01-01

Article Type : Research

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 Dqx(t) = Ax(t) + tnf(t, x(t), Bx(t)), t ∈ [0, T], n ∈ Z+, x(0) = x0 + g(x) where 0 < q < 1, A is the generator of the fuzzy strongly semigroup (S(t))t≥0 on En.
Keywords : Fractional differential equation, Fuzzy differential equations, Fuzzysolution, Initial value problem