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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F14%3APU106473" target="_blank" >RIV/00216305:26220/14:PU106473 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.amc.2013.11.012" target="_blank" >http://dx.doi.org/10.1016/j.amc.2013.11.012</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2013.11.012" target="_blank" >10.1016/j.amc.2013.11.012</a>

Result language
angličtina
Original language name
On exponential stability of nonlinear fractional multidelay integro-differential equations defined by pairwise permutable matrices
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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