Topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions

Topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions

In this paper, we study the topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions on a compact interval. We show that the solution set for our problem is nonempty, compact and moreover a R δ -set.

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Veröffentlicht in:Journal of fixed point theory and applications 2018-06, Vol.20 (2), p.1-25, Article 59
Hauptverfasser: Wang, JinRong, Ibrahim, A. G., O’Regan, D.
Format: Artikel
Sprache:eng
Schlagworte:
Acquisitions & mergers
Analysis
Evolution
Inclusions
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper, we study the topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions on a compact interval. We show that the solution set for our problem is nonempty, compact and moreover a R δ -set.
ISSN:1661-7738
1661-7746
DOI:10.1007/s11784-018-0534-5