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

Demonstratio mathematica

article

Snezhana G. Hristova¹  Stepan A. Tersian² 

[1] Department of Applied Mathematics and Modeling, University of Plovdiv “Paisii Hilendarski”;Department of Analysis, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences

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

DOI  :  10.1515/dema-2020-0012

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

CC BY