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

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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.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: 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)

Creator: Hristova, Snezhana G.
Tersian, Stepan A.

DOI: 10.1515/dema-2020-0012

URN: urn:nbn:de:101:1-2411181519316.272800951095

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:37 AM CEST

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Hristova, Snezhana G.
Tersian, Stepan A.

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

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Other Objects (12)

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