Regularity and stability analysis for a class of semilinear nonlocal differential equations in Hilbert spaces
From MaRDI portal
Publication:2287255
DOI10.1016/j.jmaa.2019.123655zbMath1429.34068arXiv1811.01244OpenAlexW2988094785MaRDI QIDQ2287255
Tran Dinh Ke, Lam Tran Phuong Thuy, Nguyen Nhu Thang
Publication date: 20 January 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.01244
Nonlinear differential equations in abstract spaces (34G20) Stability theory of functional-differential equations (34K20) Applications of operator theory to differential and integral equations (47N20)
Related Items (22)
Stability analysis for a class of anomalous diffusion involving impulsives and nonlinear pertubations ⋮ Notes on ultraslow nonlocal telegraph evolution equations ⋮ Bounded weak solutions of time-fractional porous medium type and more general nonlinear and degenerate evolutionary integro-differential equations ⋮ On regularity and stability for a class of nonlocal evolution equations with nonlinear perturbations ⋮ Source identification problems for abstract semilinear nonlocal differential equations ⋮ Asymptotically almost periodic solutions to nonlocal differential equations ⋮ 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 ⋮ Time fractional gradient flows: Theory and numerics ⋮ Long time behavior of solutions for time-fractional pseudo-parabolic equations involving time-varying delays and superlinear nonlinearities ⋮ Solvability for time‐fractional semilinear parabolic equations with singular initial data ⋮ Structural stability of autonomous semilinear nonlocal evolution equations and the related semi-dynamical systems ⋮ Stability and regularity in inverse source problem for generalized subdiffusion equation perturbed by locally Lipschitz sources ⋮ The final value problem for anomalous diffusion equations involving weak-valued nonlinearities ⋮ Regularity and large‐time behavior of solutions for fractional semilinear mobile–immobile equations ⋮ Regularity theory for fractional reaction–subdiffusion equation and application to inverse problem ⋮ On the time-delayed anomalous diffusion equations with nonlocal initial conditions ⋮ On the asymptotic behavior of solutions to time-fractional elliptic equations driven by a multiplicative white noise ⋮ An inverse source problem for generalized Rayleigh-Stokes equations involving superlinear perturbations ⋮ On the existence and uniqueness of weak solutions to time-fractional elliptic equations with time-dependent variable coefficients ⋮ Existence and regularity in inverse source problem for fractional reaction-subdiffusion equation perturbed by locally Lipschitz sources ⋮ Stability analysis for nonlocal evolution equations involving infinite delays
Cites Work
- Unnamed Item
- Unnamed Item
- Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
- Decay estimates for time-fractional and other non-local in time subdiffusion equations in \(\mathbb R^d\)
- General fractional calculus, evolution equations, and renewal processes
- Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
- Boundedness of weak solutions to evolutionary partial integro-differential equations with discontinuous coefficients
- Volterra integro-differential equations with accretive nonlinearity
- Integral equations of the first kind of Sonine type
- On a nonlinear elliptic-parabolic integro-differential equation with \(L^{1}\)-data.
- Fundamental solutions and decay of fully non-local problems
- Fixed point approach for weakly asymptotic stability of fractional differential inclusions involving impulsive effects
- Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations
- Decay integral solutions for a class of impulsive fractional differential equations in Banach spaces
- Stability, instability, and blowup for time fractional and other nonlocal in time semilinear subdiffusion equations
- On Volterra integral equations with nonnegative integrable resolvents
- Regularity and Unique Existence of Solution to Linear Diffusion Equation with Multiple Time-Fractional Derivatives
- Asymptotic Behavior of Solutions of Nonlinear Volterra Equations with Completely Positive Kernels
- Weak Solutions of Abstract Evolutionary Integro-Differential Equations in Hilbert Spaces
- Decay integral solutions for neutral fractional differential equations with infinite delays
- Optimal Decay Estimates for Time-Fractional and Other NonLocal Subdiffusion Equations via Energy Methods
This page was built for publication: Regularity and stability analysis for a class of semilinear nonlocal differential equations in Hilbert spaces