Razumikhin-type stability theorems for functional fractional-order differential systems and applications
type: Item
instance of: scholarly article
title: Razumikhin-type stability theorems for functional fractional-order differential systems and applications
zbMATH Open document ID: 1410.34209
author: Boshan Chen
author: Jiejie Chen
published in: Applied Mathematics and Computation
publication date: 2018-06-19T00:00:00Z
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 39B82
zbMATH DE Number: 6890777
zbMATH Keywords: functional fractional-order differential system
zbMATH Keywords: uniform stability
zbMATH Keywords: global uniform stability
zbMATH Keywords: Razumikhin-type theorem
MaRDI profile type: Publication
full work available at URL: j.amc.2014.12.010
OpenAlex ID: W2088263281
cites work: Q4726489
cites work: Q3141902
cites work: Q4233638
cites work: Peristaltic flow of viscoelastic fluid with fractional Maxwell model through a channel
cites work: Recent history of fractional calculus
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations
cites work: Global attractivity for nonlinear fractional differential equations
cites work: The monotonic property and stability of solutions of fractional differential equations
cites work: Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
cites work: Q3408155
cites work: Some results of linear fractional order time-delay system
cites work: Existence results for fractional order functional differential equations with infinite delay
cites work: Q4824543
cites work: Nonlinear functional differential equations of arbitrary orders
cites work: Q5187782
cites work: Stability analysis for point delay fractional description models via linear matrix inequalities
cites work: Analytical stability bound for a class of delayed fractional-order dynamic systems
cites work: Stability analysis of linear fractional differential system with multiple time delays
cites work: Lyapunov stability solutions of fractional integrodifferential equations
cites work: Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
cites work: Mittag-Leffler stability of fractional order nonlinear dynamic systems
cites work: Generalized Mittag-Leffler stability of multi-variables fractional order nonlinear systems
cites work: Mittag-Leffler stability theorem for fractional nonlinear systems with delay
cites work: Razumikhin stability theorem for fractional systems with delay
cites work: Theory of functional differential equations. 2nd ed
DOI: 10.1016/J.AMC.2014.12.010
description: scientific article; zbMATH DE number 6890777