Detail publikačního výsledku

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

Anglický název

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

Druh

Článek WoS

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.

Anglický 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

Klíčová slova v angličtině

Integro-differential equation, multiple delays, exponential stability

Autoři

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

Rok RIV

2017

Vydáno

15.01.2014

ISSN

0096-3003

Periodikum

APPLIED MATHEMATICS AND COMPUTATION

Svazek

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"
}