Commutator of the Caputo fractional derivative and the shift operator and applications
DOI10.1016/j.cnsns.2024.107857OpenAlexW4390870473MaRDI QIDQ6121858
Thi Thu Huong Nguyen, Dinh-Ke Tran, Nguyen Nhu Thang
Publication date: 27 February 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2024.107857
fractional derivativesMittag-Leffler stabilityfinite-time attractivityfractional Halanay inequalitydelay fractional PDEs
Asymptotic behavior of solutions to PDEs (35B40) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Partial functional-differential equations (35R10) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Synchronization for fractional-order time-delayed memristor-based neural networks with parameter uncertainty
- On some properties of the Mittag-Leffler function \(E_\alpha(-t^\alpha)\), completely monotone for \(t>0\) with \(0<\alpha<1\)
- On systems of linear fractional differential equations with constant coefficients
- Mittag-Leffler stability of fractional order nonlinear dynamic systems
- A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
- Existence of mild solutions for fractional neutral evolution equations
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- Generation of nonlocal fractional dynamical systems by fractional differential equations
- Finite-time attractivity for semilinear fractional differential equations
- Stability analysis for a fractional differential model of HIV infection of CD4\(^{+}\) T-cells with time delay
- Finite-time attractivity of solutions for a class of fractional differential inclusions with finite delay
- Upper and lower estimates for the separation of solutions to fractional differential equations
- Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems
- Fractional Halanay inequality and application in neural network theory
- A nonlinear fractional diffusion equation: well-posedness, comparison results, and blow-up
- Volterra integral equations and fractional calculus: do neighboring solutions intersect?
- Global fractional Halanay inequalities approach to finite-time stability of nonlinear fractional order delay systems
- The Convergence Problem for Dissipative Autonomous Systems
- Applications in Physics, Part B
- A Qualitative Theory of Time Delay Nonlinear Fractional-Order Systems
- A neutral fractional Halanay inequality and application to a Cohen–Grossberg neural network system
- Mittag‐Leffler stability for a fractional viscoelastic telegraph problem
- On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative
- Dissipativity and stability for semilinear anomalous diffusion equations involving delays
- Mittag-Leffler stability for non-instantaneous impulsive Caputo fractional differential equations with delays
- Dissipativity and Contractivity Analysis for Fractional Functional Differential Equations and their Numerical Approximations
- Optimal Decay Estimates for Time-Fractional and Other NonLocal Subdiffusion Equations via Energy Methods
- Applications in Engineering, Life and Social Sciences, Part B
- Global existence and convergence results for a class of nonlinear time fractional diffusion equation
This page was built for publication: Commutator of the Caputo fractional derivative and the shift operator and applications
