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

Jin Rong Wang; A. G. Ibrahim; D. O’Regan

doi:10.1007/s11784-018-0534-5

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

Jin Rong Wang, A. G. Ibrahim, D. O’Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

43 Citations (Scopus)

Abstract

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.

Original language	English
Article number	59
Journal	Journal of Fixed Point Theory and Applications
Volume	20
Issue number	2
DOIs	https://doi.org/10.1007/s11784-018-0534-5
Publication status	Published - 1 Jun 2018

Keywords

Fractional
R-set
evolution inclusions
non-instantaneous impulsive
solution set

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10.1007/s11784-018-0534-5

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title = "Topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions",

abstract = "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 Rδ-set.",

keywords = "Fractional, R-set, evolution inclusions, non-instantaneous impulsive, solution set",

author = "Wang, \{Jin Rong\} and Ibrahim, \{A. G.\} and D. O{\textquoteright}Regan",

note = "Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG, part of Springer Nature.",

year = "2018",

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AU - Wang, Jin Rong

AU - Ibrahim, A. G.

AU - O’Regan, D.

PY - 2018/6/1

Y1 - 2018/6/1

N2 - 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 Rδ-set.

AB - 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 Rδ-set.

KW - Fractional

KW - R-set

KW - evolution inclusions

KW - non-instantaneous impulsive

KW - solution set

UR - https://www.scopus.com/pages/publications/85044201855

U2 - 10.1007/s11784-018-0534-5

DO - 10.1007/s11784-018-0534-5

M3 - Article

SN - 1661-7738

VL - 20

JO - Journal of Fixed Point Theory and Applications

JF - Journal of Fixed Point Theory and Applications

IS - 2

M1 - 59

ER -

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

Abstract

Keywords

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