On stability and regularity for semilinear anomalous diffusion equations perturbed by weak-valued nonlinearities
DOI10.3934/dcdss.2023071zbMath1527.35083OpenAlexW4362654720MaRDI QIDQ6066330
Ke Tran Dinh, Nguyen Van Dac, Lam Tran Phuong Thuy
Publication date: 15 November 2023
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2023071
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Initial-boundary value problems for second-order parabolic equations (35K20) Integral representations of solutions to PDEs (35C15) Volterra integral equations (45D05) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains
- Decay mild solutions for two-term time fractional differential equations in Banach spaces
- Decay estimates for time-fractional and other non-local in time subdiffusion equations in \(\mathbb R^d\)
- Distributions. Generalized functions with applications in Sobolev spaces
- Hitchhiker's guide to the fractional Sobolev spaces
- Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
- Integral equations of the first kind of Sonine type
- Fundamental solutions and decay of fully non-local problems
- Fixed point approach for weakly asymptotic stability of fractional differential inclusions involving impulsive effects
- Regularity and stability analysis for a class of semilinear nonlocal differential equations in Hilbert spaces
- Stability, instability, and blowup for time fractional and other nonlocal in time semilinear subdiffusion equations
- Distributed order calculus and equations of ultraslow diffusion
- On Volterra integral equations with nonnegative integrable resolvents
- Asymptotic Behavior of Solutions of Nonlinear Volterra Equations with Completely Positive Kernels
- Evolutionary Integral Equations and Applications
- Optimal Decay Estimates for Time-Fractional and Other NonLocal Subdiffusion Equations via Energy Methods
This page was built for publication: On stability and regularity for semilinear anomalous diffusion equations perturbed by weak-valued nonlinearities