Jinrong Wang, Ahmed G. Ibrahim, Donal O'Regan
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.
Submitted July 11, 2018. Published March 6, 2019.
Math Subject Classifications: 34A60.
Key Words: Fractional evolution inclusions; non-instantaneous impulses; compactness.
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| Jinrong Wang |
Department of Mathematics
Guiyang, Guizhou 550025, China
| Ahmed G. Ibrahim |
Department of Mathematics, Faculty of Science
King Faisal University
Al-Ahasa 31982, Saudi Arabia
| Donal O'Regan |
School of Mathematics
Statistics and Applied Mathematics
National University of Ireland, Galway, Ireland
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