Nonemptyness and compactness of the solution set for fractional evolution inclusions with non-instantaneous impulses
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Date
2019-03-06
Authors
Wang, Jinrong
Ibrahim, Ahmed
O'Regan, Donal
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we consider the nonemptyness and compactness of the solution set for a class of fractional semilinear evolution inclusions with non-instantaneous impulses in Banach spaces. To achieve this we use fixed point theorems with semigroup theory, upper semicontinuous multi-functions and measures of noncompactness.
Description
Keywords
Fractional evolution inclusions, Non-instantaneous impulses, Compactness
Citation
Wang, J., Ibrahim, A. G., & O'Regan, D. (2019). Nonemptyness and compactness of the solution set for fractional evolution inclusions with non-instantaneous impulses. Electronic Journal of Differential Equations, 2019(37), pp. 1-17.
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Attribution 4.0 International