Existence and Uniqueness Results for Caputo Fractional Differential Equations with Integral Boundary Value Conditions
نویسندگان
چکیده
منابع مشابه
Existence and Uniqueness Results for Fractional Differential Equations with Boundary Value Conditions
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Dx(t) + f(t, x(t), x(t)) = 0, t ∈ (0, 1), x(0) = ∫ 1 0 g0(s, x(s))ds, x(1) = ∫ 1 0 g1(s, x(s))ds, x(0) = 0, k = 2, 3, · · · , [α]− 1. By means of the Banach contraction mapping principle, some new results on the existence and uniqueness are obtained. It is interesting to note that the sufficient conditions for the existence and uniqueness of solutions are dependent on the order α.
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ژورنال
عنوان ژورنال: Journal of Partial Differential Equations
سال: 2018
ISSN: 1000-940X,2079-732X
DOI: 10.4208/jpde.v31.n1.5