Long time decay analysis of complex-valued fractional abstract evolution equations with delay
DOI10.1016/J.AMC.2023.128292MaRDI QIDQ6095054
Zichen Yao, Zhanwen Yang, Yongqiang Fu
Publication date: 11 October 2023
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Laplace transformspectral decompositiondecay rateasymptotical stabilityfractional Schrödinger equationsfractional abstract evolution equations
Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34Kxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Miscellaneous topics in partial differential equations (35Rxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hitchhiker's guide to the fractional Sobolev spaces
- Fractional-time Schrödinger equation: fractional dynamics on a comb
- Stability analysis of linear fractional differential system with multiple time delays
- Dissipativity and stability analysis for fractional functional differential equations
- Space-time fractional Schrödinger equation with time-independent potentials
- Fractional quantum mechanics and Lévy path integrals
- Razumikhin-type stability theorems for functional fractional-order differential systems and applications
- Fractional differential equations with a constant delay: stability and asymptotics of solutions
- Order stars and stability for delay differential equations
- Chaos, fractional kinetics, and anomalous transport
- Fractional Schrödinger equations with potential and optimal controls
- Majorana representation for a composite system
- A Schwarz waveform relaxation method for time-dependent space fractional Schrödinger/heat equations
- Stabilization and destabilization of fractional oscillators via a delayed feedback control
- Stability regions for fractional differential systems with a time delay
- Graph-theoretic approach to synchronization of fractional-order coupled systems with time-varying delays via periodically intermittent control
- Global fractional Halanay inequalities approach to finite-time stability of nonlinear fractional order delay systems
- Linearized asymptotic stability for fractional differential equations
- Time fractional Schrödinger equation
- Bifurcation and multiplicity results for fourth-order equations
- Space-Time Fractional Nonlinear Schrödinger Equation
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- Numerical Treatment and Analysis of Time-Fractional Evolution Equations
This page was built for publication: Long time decay analysis of complex-valued fractional abstract evolution equations with delay