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

8978

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

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

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,

Journal of Universal Mathematics-Cover

ISSN: 2618-5660
Başlangıç: 2018
Yayıncı: Gökhan ÇUVALCIOĞLU

Arşiv

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