Halanay inequality with Hadamard derivative and application to a neural network system
From MaRDI portal
Publication:2322780
DOI10.1007/s40314-019-0874-9zbMath1438.26012OpenAlexW2947273092WikidataQ127781809 ScholiaQ127781809MaRDI QIDQ2322780
Mohammed D. Kassim, Nasser-eddine Tatar
Publication date: 5 September 2019
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-019-0874-9
Neural networks for/in biological studies, artificial life and related topics (92B20) Fractional derivatives and integrals (26A33) Functional-differential equations with fractional derivatives (34K37)
Related Items
Langevin differential equation in frame of ordinary and Hadamard fractional derivatives under three point boundary conditions ⋮ Halanay inequality involving Caputo-Hadamard fractional derivative and application ⋮ Generalized Halanay inequalities for stability and dissipativity of stochastic functional differential equations ⋮ Temporal discretization for Caputo-Hadamard fractional derivative with incomplete gamma function via Whittaker function
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New generalized Halanay inequalities with applications to stability of nonlinear non-autonomous time-delay systems
- A priori estimates for solutions of boundary value problems for fractional-order equations
- Multiple periodic solutions in impulsive hybrid neural networks with delays
- The exponential asymptotic stability of singularly perturbed delay differential equations with a bounded lag
- Generalized Halanay inequalities for dissipativity of Volterra functional differential equations
- Mittag-Leffler stability of fractional order nonlinear dynamic systems
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
- Stability of time-varying switched systems with time-varying delay
- Global \(O(t^{-\alpha})\) stability and global asymptotical periodicity for a non-autonomous fractional-order neural networks with time-varying delays
- Stability analysis of fractional-order Hopfield neural networks with time delays
- Mittag-Leffler stability of fractional-order Hopfield neural networks
- Retrieval phase diagrams of non-monotonic Hopfield networks
- Continuous and discrete Halanay-type inequalities
- Bifurcation and Chaos in Noninteger Order Cellular Neural Networks
- Stability analysis of fractional-order delayed neural networks
- Neural networks and physical systems with emergent collective computational abilities.
- Neurons with graded response have collective computational properties like those of two-state neurons.
- NONLINEAR DIFFERENTIAL EQUATIONS WITH MARCHAUD‐HADAMARD-TYPE FRACTIONAL DERIVATIVE IN THE WEIGHTED SPACE OF SUMMABLE FUNCTIONS