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MEDVEĎ, M. POSPÍŠIL, M. ŠKRIPKOVÁ, L.
Original Title
On exponential stability of nonlinear fractional multidelay integro-differential equations defined by pairwise permutable matrices
Type
journal article in Web of Science
Language
English
Original Abstract
In this paper, systems of nonlinear differential equations with Caputo fractional derivative and multiple delays are considered. Using representation of a solution of differential equation with multiple delays in the form of matrix polynomial and stability results such as Gronwall's and Pinto's inequality, sufficient conditions for the exponential stability of a trivial solution of nonlinear multidelay fractional differential equations are proved.
Keywords
Integro-differential equation, multiple delays, exponential stability
Authors
MEDVEĎ, M.; POSPÍŠIL, M.; ŠKRIPKOVÁ, L.
RIV year
2014
Released
15. 1. 2014
ISBN
0096-3003
Periodical
APPLIED MATHEMATICS AND COMPUTATION
Year of study
227
Number
1
State
United States of America
Pages from
456
Pages to
468
Pages count
13
BibTex
@article{BUT103620, author="Milan {Medveď} and Michal {Pospíšil} and Lucia {Škripková}", title="On exponential stability of nonlinear fractional multidelay integro-differential equations defined by pairwise permutable matrices", journal="APPLIED MATHEMATICS AND COMPUTATION", year="2014", volume="227", number="1", pages="456--468", doi="10.1016/j.amc.2013.11.012", issn="0096-3003" }