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

JinRong Wang; A. G. Ibrahim; D. O’Regan

doi:10.1007/s11784-018-0534-5

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

Journal article

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

JinRong Wang, A. G. Ibrahim and D. O’Regan

Journal of fixed point theory and applications, Vol.20(2), pp.1-25

01/06/2018

DOI: https://doi.org/10.1007/s11784-018-0534-5

Abstract

Analysis

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general

Mathematical Methods in Physics

Mathematics

Mathematics and Statistics

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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Title: Topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions
Creators - without role: JinRong Wang - Guizhou University
A. G. Ibrahim - King Faisal University
D. O’Regan - National University of Ireland
Publication Details: Journal of fixed point theory and applications, Vol.20(2), pp.1-25
Publisher: Springer International Publishing
Grant note: 11661016 / National Natural Science Foundation of China (http://dx.doi.org/10.13039/501100001809)
Identifiers: 9919212008331
Academic Unit: King Faisal University
Language: English
Resource Type: Journal article