Existence of mild solutions for semilinear evolution equation using Hilfer fractional derivatives
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: Fractional differential calculus
سال: 2022
ISSN: ['1847-9677']
DOI: https://doi.org/10.7153/fdc-2022-12-01