Detail publikace

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

KISELA, T. ČERMÁK, J.

Anglický název

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

Typ

Článek WoS

Jazyk

en

Originální abstrakt

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.

Klíčová slova anglicky

fractional differential equation; fractional difference equation; asymptotic stability; fractional Schur-Cohn criterion

Vydáno

2015-04-30

ISSN

1311-0454

Časopis

Fractional Calculus and Applied Analysis

Ročník

18

Číslo

2

Strany od–do

437–458

Počet stran

22

BIBTEX


@article{BUT115854,
  author="Tomáš {Kisela} and Jan {Čermák}",
  title="Asymptotic Stability Of Dynamic Equations With Two Fractional Terms: Continuous Versus Discrete Case",
  journal="Fractional Calculus and Applied Analysis",
  year="2015",
  volume="18",
  number="2",
  pages="437--458",
  doi="10.1515/fca-2015-0028",
  issn="1311-0454"
}