Short memory fractional differential equations for new memristor and neural network design
From MaRDI portal
Publication:6168847
DOI10.1007/s11071-020-05572-zzbMath1516.34022OpenAlexW3033490297MaRDI QIDQ6168847
Guo-Cheng Wu, Mao-Kang Luo, Lan-Lan Huang, Santo Banerjee
Publication date: 9 August 2023
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-020-05572-z
neural networkfractional differential equationsmemristorshort memoryvariable-order modelingglobal stability and existences
Artificial neural networks and deep learning (68T07) Fractional ordinary differential equations (34A08)
Related Items (34)
A novel numerical approach for solving fractional order differential equations using hybrid functions ⋮ Different dimensional fractional-order discrete chaotic systems based on the Caputo \(h\)-difference discrete operator: dynamics, control, and synchronization ⋮ A brief note on fractal dynamics of fractional Mandelbrot sets ⋮ Application of triple compound combination anti-synchronization among parallel fractional snap systems \& electronic circuit implementation ⋮ Modelling and parameter identification for a two-stage fractional dynamical system in microbial batch process ⋮ Stabilization of impulsive fractional-order dynamic systems involving the Caputo fractional derivative of variable-order via a linear feedback controller ⋮ A stability criterion for fractional-order complex-valued differential equations with distributed delays ⋮ SUPPRESSING SPIRAL WAVE TURBULENCE IN A SIMPLE FRACTIONAL-ORDER DISCRETE NEURON MAP USING IMPULSE TRIGGERING ⋮ DYNAMICAL ANALYSIS OF A NOVEL DISCRETE FRACTIONAL SITRS MODEL FOR COVID-19 ⋮ EXISTENCE OF SOLUTIONS FOR FRACTIONAL EVOLUTION INCLUSION WITH APPLICATION TO MECHANICAL CONTACT PROBLEMS ⋮ ON DYNAMIC BEHAVIOR OF A DISCRETE FRACTIONAL-ORDER NONLINEAR PREY–PREDATOR MODEL ⋮ Solution to fractional evolution equation using Mohand transform ⋮ Synchronization in finite time for variable-order fractional complex dynamic networks with multi-weights and discontinuous nodes based on sliding mode control strategy ⋮ Pinning multisynchronization of delayed fractional-order memristor-based neural networks with nonlinear coupling and almost-periodic perturbations ⋮ Dynamical analysis of a fractional discrete-time vocal system ⋮ Fredholm boundary-value problem for the system of fractional differential equations ⋮ Exponential synchronization for variable-order fractional discontinuous complex dynamical networks with short memory via impulsive control ⋮ Function matrix projection synchronization for the multi-time delayed fractional order memristor-based neural networks with parameter uncertainty ⋮ Quasi-synchronization for variable-order fractional complex dynamical networks with hybrid delay-dependent impulses ⋮ The stability of the controlled problem of fuzzy dynamic systems involving the random-order Caputo fractional derivative ⋮ Generalized Lyapunov stability theory of continuous-time and discrete-time nonlinear distributed-order systems and its application to boundedness and attractiveness for networks models ⋮ On discrete fractional-order Lotka-Volterra model based on the Caputo difference discrete operator ⋮ Analytical results for positivity of discrete fractional operators with approximation of the domain of solutions ⋮ Time-fractional diffusion equation-based image denoising model ⋮ Unnamed Item ⋮ Adaptive quaternion projective synchronization of fractional order delayed neural networks in quaternion field ⋮ Creep modelling of soft soil based on the fractional flow rule: simulation and parameter study ⋮ Global asymptotic stability and S-asymptotic \(\omega \)-periodicity of impulsive non-autonomous fractional-order neural networks ⋮ Exponential synchronization of fractional-order reaction-diffusion coupled neural networks with hybrid delay-dependent impulses ⋮ Fractional q-deformed chaotic maps: A weight function approach ⋮ An inverse problem approach to determine possible memory length of fractional differential equations ⋮ Stability analysis of fractional differential equations with the short-term memory property ⋮ Stability and stabilization of short memory fractional differential equations with delayed impulses ⋮ On the boundary value problems of piecewise differential equations with left-right fractional derivatives and delay
Cites Work
- Unnamed Item
- Unnamed Item
- Fractional corresponding operator in quantum mechanics and applications: A uniform fractional Schrödinger equation in form and fractional quantization methods
- Adaptive synchronization of fractional-order memristor-based neural networks with time delay
- On the concept and existence of solution for impulsive fractional differential equations
- Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks
- Positive solutions of the fractional relaxation equation using lower and upper solutions
- Variable-order fractional derivatives and their numerical approximations
- Discrete-time fractional variational problems
- New approach to a generalized fractional integral
- On Caputo modification of the Hadamard fractional derivatives
- Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps
- Fractional differential approach to detecting textural features of digital image and its fractional differential filter implementation
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation
- A note on Hadamard fractional differential equations with varying coefficients and their applications in probability
- Numerically pricing double barrier options in a time-fractional Black-Scholes model
- Stability and synchronization of memristor-based fractional-order delayed neural networks
- Fractional differential equations of Caputo-Katugampola type and numerical solutions
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Variable order and distributed order fractional operators
- Nonlinear dynamics and chaos in fractional-order neural networks
- Modelling temporal decay of aftershocks by a solution of the fractional reactive equation
- Some further results of the Laplace transform for variable-order fractional difference equations
- Variable order fractional systems
- Fractional order description of DNA
- Variable-order fractional discrete-time recurrent neural networks
- Fractional impulsive differential equations: exact solutions, integral equations and short memory case
- Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays
- Short memory principle and a predictor-corrector approach for fractional differential equations
- Periodic impulsive fractional differential equations
- Existence results for fractional order functional differential equations with infinite delay
- Caputo–Hadamard Fractional Derivatives of Variable Order
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
- On (q, h)-Analogue of Fractional Calculus
- Initial value problems in discrete fractional calculus
- Mechanics with variable-order differential operators
- Fractional differentiability of nowhere differentiable functions and dimensions
- Integration and differentiation to a variable fractional order
- New variable-order fractional chaotic systems for fast image encryption
- Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique
- A variable order constitutive relation for viscoelasticity
This page was built for publication: Short memory fractional differential equations for new memristor and neural network design