Jinrong Wang, Ahmed G. Ibrahim, Donal O'Regan
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.
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 Guizhou University Guiyang, Guizhou 550025, China email: wjr9668@126.com |
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Ahmed G. Ibrahim Department of Mathematics, Faculty of Science King Faisal University Al-Ahasa 31982, Saudi Arabia email: agamal@kfu.edu.sa |
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Donal O'Regan School of Mathematics Statistics and Applied Mathematics National University of Ireland, Galway, Ireland email: donal.oregan@nuigalway.ie |
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