Structure of the solution set to fractional differential inclusions with impulses at variable times on compact interval
type: Item
instance of: scholarly article
title: Structure of the solution set to fractional differential inclusions with impulses at variable times on compact interval
zbMATH Open document ID: 1493.34034
author: Qi Wang
author: Xiaoyue Li
published in: Qualitative Theory of Dynamical Systems
publication date: 2021-09-07T00:00:00Z
review text: The authors of this paper investigate the topological structure of the solution set to a class of fractional differential inclusions with impulses at variable time). They show that the solution set is an \(R_\delta\)-set under some assumptions. One example is given for illustrating the main results.
reviewed by: Samir Bashir Hadid
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7391767
zbMATH Keywords: functional derivatives and integrals
zbMATH Keywords: differential inclusions
zbMATH Keywords: functional-differential equations with fractional derivatives
zbMATH Keywords: fractional differential equations
MaRDI profile type: Publication
full work available at URL: s12346-021-00500-x
OpenAlex ID: W3186604433
cites work: The method of upper and lower solutions and monotone technique for impulsive differential equations with variable moments
cites work: Comparison principle for impulsive differential equations with variable times and stability theory
cites work: Extremal solutions, comparison principle and stability criteria for impulsive differential equations with variable times
cites work: On the existence of extremal solutions for impulsive differential equations with variable time
cites work: Higher derivatives of Lyapunov functions and cone-valued Lyapunov functions
cites work: Impulsive differential equations with variable times
cites work: Periodic boundary value problem for first order differential equations with impulses at variable times
cites work: Pulse accumulation in impulsive differential equations with variable times
cites work: Vector Lyapunov functions in impulsive variable-time differential systems
cites work: First order impulsive initial and periodic problems with variable moments
cites work: General comparison principle for impulsive variable time differential equations with application
cites work: Existence of limit cycles of impulsive differential equations with impulses at variable times
cites work: State-dependent impulsive delay-differential equations
cites work: Impulsive functional differential equations with variable times
cites work: Q5312823
cites work: Q5714556
cites work: Existence of periodic solution for a harvested system with impulses at variable times
cites work: Existence theory for perturbed impulsive hyperbolic differential inclusions with variable times
cites work: Q3621478
cites work: Differential equations on variable time scales
cites work: A class of differential equations with impulses at variable times on Banach spaces
cites work: A class of semilinear evolution equations with impulses at variable times on Banach spaces
cites work: Darboux problem for impulsive partial hyperbolic differential equations of fractional order with variable times and infinite delay
cites work: The existence of viable trajectories in state-dependent impulsive systems
cites work: Impulsive fractional differential equations with variable times
cites work: An existence result for impulsive functional differential equations with variable times
cites work: Periodic solution for state-dependent impulsive shunting inhibitory CNNs with time-varying delays
cites work: Periodicity and stability for variable-time impulsive neural networks
cites work: Almost periodic evolution systems with impulse action at state-dependent moments
cites work: Stability analysis of nonlinear fractional-order systems with variable-time impulses
cites work: Le correspondant topologique de l'unicité dans la théorie des équations différentielles
cites work: Q3688675
cites work: Filippov-Ważewski theorems and structure of solution sets for first order impulsive semilinear functional differential inclusions
cites work: First order impulsive differential inclusions with periodic conditions
cites work: Structure of solutions sets and a continuous version of Filippov's theorem for first order impulsive differential inclusions with periodic conditions
cites work: First-order periodic impulsive semilinear differential inclusions: existence and structure of solution sets
cites work: Topological structure of solution sets for impulsive differential inclusions in Fréchet spaces
cites work: Structure of the solution set to impulsive functional differential inclusions on the half-line
cites work: Structure of the solution set to differential inclusions with impulses at variable times
cites work: Differential inclusions with state-dependent impulses on the half-line: new Fréchet space of functions and structure of solution sets
cites work: The solution sets for second order semilinear impulsive multivalued boundary value problems
cites work: Nonlinear evolution inclusions: topological characterizations of solution sets and applications
cites work: Topological properties of solution sets for partial functional evolution inclusions
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Q5699297
cites work: Basic theory of fractional differential equations
cites work: Q5185568
cites work: Multivalued perturbations of \(m\)-accretive differential inclusions
cites work: Q3782303
cites work: Q4325523
cites work: A generalized Gronwall inequality and its application to a fractional differential equation
DOI: 10.1007/S12346-021-00500-X
description: scientific article; zbMATH DE number 7391767