Lyapunov stability solutions of fractional integrodifferential equations
type: Item
instance of: scholarly article
title: Lyapunov stability solutions of fractional integrodifferential equations
zbMATH Open document ID: 1074.45006
DOI: 10.1155/S0161171204312366
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-25T00:00:00Z
full work available at URL: https://eudml.org/doc/51757
review text: The authors consider the following fractional integrodiffrential equation in a Euclidean space: \[ x^{(q)} (t)=f ( t,x (t))+ \int_{t_0}^t K( t,s,x (s))ds, \quad 0<q\leq 1;\;t\geq 0. \] Here \(f\) is given vector-valued function and \(K\) is a matrix kernel. Lyapunov stability and asymptotic stability conditions of stationary states are investigated by applications of Gronwall's lemma and the Schwarz inequality.
reviewed by: Michael I. Gil'
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 45M10
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 2171611
zbMATH Keywords: fractional integrodifferential equation
zbMATH Keywords: asymptotic stability
zbMATH Keywords: Lyapunov stability
author: Shaher Momani
author: Samir Bashir Hadid
MaRDI profile type: Publication
OpenAlex ID: W2160552781
description: scientific article; zbMATH DE number 2171611