Detail publikace

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

MEDVEĎ, M. POSPÍŠIL, M. ŠKRIPKOVÁ, L.

Originální název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

Integro-differential equation, multiple delays, exponential stability

Autoři

MEDVEĎ, M.; POSPÍŠIL, M.; ŠKRIPKOVÁ, L.

Rok RIV

2014

Vydáno

15. 1. 2014

ISSN

0096-3003

Periodikum

APPLIED MATHEMATICS AND COMPUTATION

Ročník

227

Číslo

1

Stát

Spojené státy americké

Strany od

456

Strany do

468

Strany počet

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"
}