ABOUT STABILITY CONDITIONS FOR RETARDED FRACTIONAL DIFFERENTIAL SYSTEMS WITH DISTRIBUTED DELAYS

TitleABOUT STABILITY CONDITIONS FOR RETARDED FRACTIONAL DIFFERENTIAL SYSTEMS WITH DISTRIBUTED DELAYS
Publication TypeJournal Article
Year of Publication2016
AuthorsVESELINOVA, MAGDALENA, KISKINOV, HRISTO, ZAHARIEV, ANDREY
Secondary TitleCommunications in Applied Analysis
Volume20
Issue3
Start Page325
Pagination10
Date Published10/2016
Type of Workscientific: mathematics
ISSN1083-2564
AMS34A08, 34A12, 34D20
Abstract

The aim of the present work is to introduce a new approach which allows to establish explicit conditions for global asymptotic stability of incommensurate and commensurate retarded linear fractional differential system with distributed delays. The derivatives in the system can be in Riemann-Liouville or Caputo type. The established conditions are simply to verify - it must be studied either the distribution of the roots of a polynomial, or the distribution of the eigenvalues for a constant matrix, which are explicitly determined from the systems parameters. Some results for the commensurate case are given too.
 
URLhttp://www.acadsol.eu/en/articles/20/3/5.pdf
DOI10.12732/caa.v20i3.5
Short TitleFractional Differential Systems with Distributed Delays
Alternate JournalCAA
Refereed DesignationRefereed
Full Text

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