Publication detail

On exponential stability of nonlinear fractional multidelay integro-differential equations defined by pairwise permutable matrices

MEDVEĎ, M. POSPÍŠIL, M. ŠKRIPKOVÁ, L.

Original Title

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

State

United States of America

Pages from

456

Pages to

468

Pages count

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"
}