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

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

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...

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Main Authors: Hristova Snezhana G., Tersian Stepan A.
Format: Article
Language:English
Published: De Gruyter 2020-07-01
Series:Demonstratio Mathematica
Subjects:
riemann-liouville fractional derivative
constant delay
impulses
finite time stability
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Online Access:http://www.degruyter.com/view/j/dema.2020.53.issue-1/dema-2020-0012/dema-2020-0012.xml?format=INT
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spelling doaj-3306499d781742b78de5f450a961a8b52020-11-25T01:53:22ZengDe GruyterDemonstratio Mathematica2391-46612020-07-0153112113010.1515/dema-2020-0012dema-2020-0012Scalar linear impulsive Riemann-Liouville fractional differential equations with constant delay-explicit solutions and finite time stabilityHristova Snezhana G.0Tersian Stepan A.1Department of Applied Mathematics and Modeling, University of Plovdiv “Paisii Hilendarski”, Plovdiv 4000, BulgariaDepartment of Analysis, Geometry and Topology, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, BulgariaRiemann-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.http://www.degruyter.com/view/j/dema.2020.53.issue-1/dema-2020-0012/dema-2020-0012.xml?format=INTriemann-liouville fractional derivativeconstant delayimpulsesfinite time stability34a0834a37
collection DOAJ
language English
format Article
sources DOAJ
author Hristova Snezhana G.
Tersian Stepan A.
spellingShingle Hristova Snezhana G.
Tersian Stepan A.
Scalar linear impulsive Riemann-Liouville fractional differential equations with constant delay-explicit solutions and finite time stability
Demonstratio Mathematica
riemann-liouville fractional derivative
constant delay
impulses
finite time stability
34a08
34a37
author_facet Hristova Snezhana G.
Tersian Stepan A.
author_sort Hristova Snezhana G.
title Scalar linear impulsive Riemann-Liouville fractional differential equations with constant delay-explicit solutions and finite time stability
title_short Scalar linear impulsive Riemann-Liouville fractional differential equations with constant delay-explicit solutions and finite time stability
title_full Scalar linear impulsive Riemann-Liouville fractional differential equations with constant delay-explicit solutions and finite time stability
title_fullStr Scalar linear impulsive Riemann-Liouville fractional differential equations with constant delay-explicit solutions and finite time stability
title_full_unstemmed Scalar linear impulsive Riemann-Liouville fractional differential equations with constant delay-explicit solutions and finite time stability
title_sort scalar linear impulsive riemann-liouville fractional differential equations with constant delay-explicit solutions and finite time stability
publisher De Gruyter
series Demonstratio Mathematica
issn 2391-4661
publishDate 2020-07-01
description 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.
topic riemann-liouville fractional derivative
constant delay
impulses
finite time stability
34a08
34a37
url http://www.degruyter.com/view/j/dema.2020.53.issue-1/dema-2020-0012/dema-2020-0012.xml?format=INT
work_keys_str_mv AT hristovasnezhanag scalarlinearimpulsiveriemannliouvillefractionaldifferentialequationswithconstantdelayexplicitsolutionsandfinitetimestability
AT tersianstepana scalarlinearimpulsiveriemannliouvillefractionaldifferentialequationswithconstantdelayexplicitsolutionsandfinitetimestability
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