Scalar linear impulsive Riemann-Liouville fractional differential equations with constant delay-explicit solutions and finite time stability

Abstract: Riemann-Liouville fractional differential equations with a constant delay and impulses are studied in this article. The following two cases are considered: the case when the lower limit of the fractional derivative is fixed on the whole interval of consideration and the case when the lower limit of the fractional derivative is changed at any point of impulse. The initial conditions as well as impulsive conditions are defined in an appropriate way for both cases. The explicit solutions are obtained and applied to the study of finite time stability.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
Scalar linear impulsive Riemann-Liouville fractional differential equations with constant delay-explicit solutions and finite time stability ; volume:53 ; number:1 ; year:2020 ; pages:121-130 ; extent:10
Demonstratio mathematica ; 53, Heft 1 (2020), 121-130 (gesamt 10)

Urheber
Hristova, Snezhana G.
Tersian, Stepan A.

DOI
10.1515/dema-2020-0012
URN
urn:nbn:de:101:1-2411181519316.272800951095
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
15.08.2025, 07:37 MESZ

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Beteiligte

  • Hristova, Snezhana G.
  • Tersian, Stepan A.

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