Fixed point approach for weakly asymptotic stability of fractional differential inclusions involving impulsive effects

We prove the global solvability and weakly asymptotic stability for a semilinear fractional differential inclusion subject to impulsive effects by analyzing behavior of its solutions on the half-line. Our analysis is based on a fixed point principle for condensing multi-valued maps, which is employe...

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Bibliographic Details
Published inFixed point theory and algorithms for sciences and engineering Vol. 19; no. 4; pp. 2185 - 2208
Main Authors Ke, Tran Dinh, Lan, Do
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.12.2017
Springer Nature B.V
Subjects
Analysis
Asymptotic properties
Banach spaces
Cauchy problems
Continuity (mathematics)
Control theory
Fixed points (mathematics)
Inclusions
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Operators (mathematics)
Stability
fractional differential inclusion
35B35
impulsive effect
34A08
Weakly asymptotic stability
condensing map
47H10
fixed point
MNC estimate
35R11
35R12
47H08
34A60
measure of non-compactness
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Summary:We prove the global solvability and weakly asymptotic stability for a semilinear fractional differential inclusion subject to impulsive effects by analyzing behavior of its solutions on the half-line. Our analysis is based on a fixed point principle for condensing multi-valued maps, which is employed for solution operator acting on the space of piecewise continuous functions. The obtained results will be applied to a lattice fractional differential system.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1661-7738
1661-7746
2730-5422
DOI:10.1007/s11784-017-0412-6