Asymptotic Stability Of Dynamic Equations With Two Fractional Terms: Continuous Versus Discrete Case

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F15%3APU115161" target="_blank" >RIV/00216305:26210/15:PU115161 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1515/fca-2015-0028" target="_blank" >http://dx.doi.org/10.1515/fca-2015-0028</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/fca-2015-0028" target="_blank" >10.1515/fca-2015-0028</a>

Result language
angličtina
Original language name
Asymptotic Stability Of Dynamic Equations With Two Fractional Terms: Continuous Versus Discrete Case
Original language description
The paper discusses asymptotic stability conditions for the linear fractional difference equation ∇αy(n) + a∇βy(n) + by(n) = 0 with real coefficients a, b and real orders α > β > 0 such that α/β is a rational number. For given α, β, we describe various types of discrete stability regions in the (a, b)-plane and compare them with the stability regions recently derived for the underlying continuous pattern Dαx(t) + aDβx(t) + bx(t) = 0 involving two Caputo fractional derivatives. Our analysis shows that discrete stability sets are larger and their structure much more rich than in the case of the continuous counterparts.
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
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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