On the existence of mild solutions to some semilinear fractional integro-differential equations
نویسندگان
چکیده
منابع مشابه
Existence of Mild Solutions for Nonlocal Semilinear Fractional Evolution Equations
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: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2010
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2010.1.58