Practical stability for Riemann-Liouville delay fractional differential equations
type: Item
instance of: scholarly article
title: Practical stability for Riemann-Liouville delay fractional differential equations
zbMATH Open document ID: 1479.34127
author: Ravi P. Agarwal
author: Donal O'Regan
author: Snezhana Hristova
published in: Arabian Journal of Mathematics
publication date: 2021-08-24T00:00:00Z
review text: In this paper, the authors study a system of nonlinear Riemann-Liouville fractional differential equations with delays. First, they define in an appropriate way initial conditions which are connected with the fractional derivative and then introduce an appropriate generalization of practical stability in time. Several sufficient conditions for practical stability in time are obtained using Lyapunov functions and the modified Razumikhin technique. Two types of derivatives of Lyapunov functions are used. Some examples are given to illustrate the results.
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 7384608
zbMATH Keywords: practical stability
zbMATH Keywords: Riemann-Liouville fractional derivative
zbMATH Keywords: fractional delay differential equations
reviewed by: Krishnan Balachandran
MaRDI profile type: Publication
Wikidata QID: Q114219611
full work available at URL: s40065-021-00320-6
OpenAlex ID: W3162898863
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DOI: 10.1007/S40065-021-00320-6
description: scientific article; zbMATH DE number 7384608