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

DOI10.1007/s11784-017-0412-6zbMath1376.34021OpenAlexW2587687854MaRDI QIDQ1684835

Tran Dinh Ke, Do Lan

Publication date: 12 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-017-0412-6

zbMATH Keywords

fixed pointmeasure of non-compactnessfractional differential inclusionimpulsive effectcondensing mapMNC estimateweakly asymptotic stability

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Ordinary differential inclusions (34A60) Fractional ordinary differential equations (34A08) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (16)

Stability analysis for a class of anomalous diffusion involving impulsives and nonlinear pertubations ⋮ On stability for semilinear generalized Rayleigh-Stokes equation involving delays ⋮ On stability and regularity for semilinear anomalous diffusion equations perturbed by weak-valued nonlinearities ⋮ Existence and stability results for a class of nonlocal semilinear equations involving delays ⋮ Decay solutions and decay rate for a class of retarded abtract semilinear fractional evolution inclusions ⋮ Stability analysis for a class of semilinear nonlocal evolution equations ⋮ Long time behavior of solutions for time-fractional pseudo-parabolic equations involving time-varying delays and superlinear nonlinearities ⋮ Unnamed Item ⋮ Finite-time attractivity for semilinear fractional differential equations ⋮ Finite-time attractivity of solutions for a class of fractional differential inclusions with finite delay ⋮ Regularity and stability analysis for a class of semilinear nonlocal differential equations in Hilbert spaces ⋮ Weakly asymptotic stability for fractional delay differential mixed variational inequalities ⋮ Existence of a global attractor for fractional differential hemivariational inequalities ⋮ Unnamed Item ⋮ Stability analysis for nonlocal evolution equations involving infinite delays ⋮ Decay solutions to abstract impulsive fractional mobile-immobile equations involving superlinear nonlinearities

Cites Work

• Unnamed Item
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• Controllability for fractional evolution inclusions without compactness
• Approximate controllability of fractional nonlinear differential inclusions
• Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces
• Some new results for multi-valued fractional evolution equations
• Approximate controllability of nonlinear fractional dynamical systems
• Approximate controllability of fractional differential equations with state-dependent delay
• Controllability of impulsive neutral stochastic functional differential inclusions with infinite delay
• Abstract fractional Cauchy problems with almost sectorial operators
• Existence and controllability results for fractional semilinear differential inclusions
• Multi-valued nonlinear perturbations of time fractional evolution equations in Banach spaces
• Existence of mild solutions for fractional neutral evolution equations
• Functional analysis, Sobolev spaces and partial differential equations
• Stability analysis of impulsive functional differential equations
• Measures of noncompactness in metric fixed point theory
• Decay integral solutions for a class of impulsive fractional differential equations in Banach spaces
• Global attractor for a class of functional differential inclusions with Hille-Yosida operators
• Approximate controllability of fractional functional evolution inclusions with delay in Hilbert spaces
• Invariance of the Reachable Set under Nonlinear Perturbations
• One-Parameter Semigroups for Linear Evolution Equations
• Discretized fractional substantial calculus
• Weak Compactness in L 1 (μ, X)
• Basic Theory of Fractional Differential Equations
• Existence and approximate controllability for systems governed by fractional delay evolution inclusions
• On the existence of mild solutions for nonconvex fractional semilinear differential inclusions
• Viability theory

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