Existence and Uniqueness of Mild Solutions for Fractional Integrodifferential Equations
نویسندگان
چکیده
منابع مشابه
Existence and uniqueness of solutions for impulsive fractional differential equations
In this article, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential equations involving the Caputo fractional derivative.
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In this paper, we investigate a class of semilinear fractional evolution equations with nonlocal initial conditions given by (1) ⎧⎨ ⎩ dqu(t) dtq = Au(t)+(Fu)(t), t ∈ I, u(0)+g(u) = u0, where 0 < q< 1 , I is a compact interval. Sufficient conditions for the existence of mild solutions for the equation (1) are derived. The main tools include Laplace transform, Arzela-Ascoli’s Theorem, Schauder’s ...
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ژورنال
عنوان ژورنال: Applied and Computational Mathematics
سال: 2014
ISSN: 2328-5605
DOI: 10.11648/j.acm.20140301.15