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

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

Identyfikatory

DOI

https://doi.org/10.1515/dema-2020-0012

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Riemann-Liouville fractional derivative; constant delay; impulses; finite-time stability

PL

pochodna ułamkowa Riemanna-Liouville'a; opóźnienia stałe; impulsy; stabilność w czasie skończonym

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2020
• Tom: Vol. 53, nr 1
• Strony: 121--130
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Hristova Snezhana G.

• Department of Applied Mathematics and Modeling, University of Plovdiv “Paisii Hilendarski”, Plovdiv 4000, Bulgaria

autor

Tersian Stepan A.

• Department of Analysis, Geometry and Topology, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).