Asymptotical Stability of Riemann-Liouville Nonlinear Fractional Neutral Neural Networks with Time-Varying Delays

Asymptotical Stability of Riemann-Liouville Nonlinear Fractional Neutral Neural Networks with Time-Varying Delays

In this paper, the asymptotic stability of solutions is investigated for a class of nonlinear fractional neutral neural networks with time-dependent delays which are unbounded. By constructing the appropriate Lyapunov functional, sufficient conditions for asymptotic stability of neural networks are...

Full description

Saved in:

Bibliographic Details
Main Authors:	Erdal Korkmaz, Abdulhamit Ozdemir, Kenan Yildirim
Format:	Article
Language:	English
Published:	Wiley 2022-01-01
Series:	Journal of Mathematics
Online Access:	http://dx.doi.org/10.1155/2022/6832472
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On New Inequalities via Riemann-Liouville Fractional Integration
by: Mehmet Zeki Sarikaya, et al.
Published: (2012-01-01)

Fractional Sobolev Spaces via Riemann-Liouville Derivatives
by: Dariusz Idczak, et al.
Published: (2013-01-01)

Impulsive Multiorders Riemann-Liouville Fractional Differential Equations
by: Weera Yukunthorn, et al.
Published: (2015-01-01)

Approximate Controllability for Impulsive Riemann-Liouville Fractional Differential Inclusions
by: Zhenhai Liu, et al.
Published: (2013-01-01)

Existence of Solutions for Riemann-Liouville Fractional Boundary Value Problem
by: Wenzhe Xie, et al.
Published: (2014-01-01)

Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations
by: Zoubida Bouazza, et al.
Published: (2024-01-01)

Fractional Cauchy Problem with Riemann-Liouville Fractional Delta Derivative on Time Scales
by: Jiang Zhu, et al.
Published: (2013-01-01)

Positive Solutions for a System of Nonlinear Semipositone Boundary Value Problems with Riemann-Liouville Fractional Derivatives
by: Xiaowei Qiu, et al.
Published: (2018-01-01)

On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative
by: Mehmet Merdan
Published: (2012-01-01)

Solvability and Optimal Controls of Semilinear Riemann-Liouville Fractional Differential Equations
by: Xue Pan, et al.
Published: (2014-01-01)

Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral
by: Andrea Aglić Aljinović
Published: (2014-01-01)

Asymptotic Stability of Fractional Stochastic Neutral Differential Equations with Infinite Delays
by: R. Sakthivel, et al.
Published: (2013-01-01)

Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions
by: Mohamed I. Abbas
Published: (2015-01-01)

Numerical Approximations and Fractional Calculus: Extending Boole’s Rule with Riemann–LiouvilleFractional Integral Inequalities
by: Abdul Mateen, et al.
Published: (2025-01-01)

A Meshfree Time-Splitting Approach for the Time-Fractional Burgers’ Equation
by: Erdal Korkmaz, et al.
Published: (2023-01-01)

Weyl transforms associated with the Riemann-Liouville operator
by: N. B. Hamadi, et al.
Published: (2006-01-01)

Existence, uniqueness and stability analysis of a nonlinear coupled system involving mixed ϕ-Riemann-Liouville and ψ-Caputo fractional derivatives
by: Said Zibar, et al.
Published: (2025-01-01)

A Generalized q-Grüss Inequality Involving the Riemann-Liouville Fractional q-Integrals
by: Aydin Secer, et al.
Published: (2014-01-01)

Oscillation Criteria for Second-Order Neutral Delay Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integrals
by: Haidong Liu, et al.
Published: (2013-01-01)

On Hermite-Hadamard Type Inequalities for s-Convex Functions on the Coordinates via Riemann-Liouville Fractional Integrals
by: Feixiang Chen
Published: (2014-01-01)

New Variant of Hermite–Jensen–Mercer Inequalities via Riemann–Liouville Fractional Integral Operators
by: Qiong Kang, et al.
Published: (2020-01-01)

Asymptotic Stability of Impulsive Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays
by: Yutian Zhang
Published: (2012-01-01)

On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay
by: Fang Li, et al.
Published: (2012-01-01)

Asymptotic Stability of Distributed-Order Nonlinear Time-Varying Systems with the Prabhakar Fractional Derivatives
by: MohammadHossein Derakhshan, et al.
Published: (2020-01-01)

Stability Analysis for Uncertain Neural Networks of Neutral Type with Time-Varying Delay in the Leakage Term and Distributed Delay
by: Qi Zhou, et al.
Published: (2013-01-01)

Explicit iteration of an unbounded solution of turbulent flow model involving ψ-Riemann–Liouville fractional derivatives
by: Sabri T.M. Thabet, et al.
Published: (2025-02-01)

New Hermite–Hadamard Type Inequalities for ψ-Riemann–Liouville Fractional Integral via Convex Functions
by: Yining Sun, et al.
Published: (2020-01-01)

A Modified Groundwater Flow Model Using the Space Time Riemann-Liouville Fractional Derivatives Approximation
by: Abdon Atangana, et al.
Published: (2014-01-01)

Generalized Fractional-Order Bernoulli Functions via Riemann-Liouville Operator and Their Applications in the Evaluation of Dirichlet Series
by: Jorge Sanchez-Ortiz
Published: (2018-01-01)

Less Conservative Stability Criteria for Neutral Type Neural Networks with Mixed Time-Varying Delays
by: Kaibo Shi, et al.
Published: (2013-01-01)

The Asymptotic Behaviours of a Class of Neutral Delay Fractional-Order Pantograph Differential Equations
by: Baojun Miao, et al.
Published: (2017-01-01)

Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay
by: Jingjing Zeng, et al.
Published: (2021-01-01)

Fourth-Order Compact Difference Schemes for the Riemann-Liouville and Riesz Derivatives
by: Yuxin Zhang, et al.
Published: (2014-01-01)

Globally Asymptotic Stability of Stochastic Nonlinear Systems with Time-Varying Delays via Output Feedback Control
by: Mingzhu Song, et al.
Published: (2016-01-01)

On the Asymptotic Properties of Nonlinear Third-Order Neutral Delay Differential Equations with Distributed Deviating Arguments
by: Youliang Fu, et al.
Published: (2016-01-01)

New Delay-Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations
by: Sirada Pinjai, et al.
Published: (2013-01-01)

Delay-Dependent Asymptotic Stability of Cohen-Grossberg Models with Multiple Time-Varying Delays
by: Xiaofeng Liao, et al.
Published: (2007-01-01)

A Bicomplex Proportional Fractional (<i>ϑ</i>,<i>φ</i>)-Weighted Cauchy–Riemann Operator Using Riemann–Liouville Derivatives with Respect to an Hyperbolic-Valued Function
by: José Oscar González-Cervantes, et al.
Published: (2024-12-01)

Nonlinear differential equations with neutral term: Asymptotic behavior of solutions
by: Maryam AlKandari
Published: (2024-11-01)

Generalization of Companion of Ostrowski's Type Inequality Via Riemann-Liouville Fractional Integral and Applications in Numerical Integration, Probability Theory and Special Means
by: Faraz Mehmood, et al.
Published: (2024-07-01)