A Comparison of a Priori Estimates of the Solutions of a Linear Fractional System with Distributed Delays and Application to the Stability Analysis

Autor: Hristo Kiskinov, Magdalena Veselinova, Ekaterina Madamlieva, Andrey Zahariev
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Axioms, Vol 10, Iss 2, p 75 (2021)
Druh dokumentu: article
ISSN: 2075-1680
DOI: 10.3390/axioms10020075
Popis: In this article, we consider a retarded linear fractional differential system with distributed delays and Caputo type derivatives of incommensurate orders. For this system, several a priori estimates for the solutions, applying the two traditional approaches—by the use of the Gronwall’s inequality and by the use of integral representations of the solutions are obtained. As application of the obtained estimates, different sufficient conditions which guaranty finite-time stability of the solutions are established. A comparison of the obtained different conditions in respect to the used estimates and norms is made.
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