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Mathematics
Volume 9
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10.3390/math9020150
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Correction published on 3 June 2021, see Mathematics 2021, 9(11), 1282.
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Article

Existence of Absolutely Continuous Fundamental Matrix of Linear Fractional System with Distributed Delays

by
Hristo Kiskinov
*,
Ekaterina Madamlieva
,
Magdalena Veselinova
and
Andrey Zahariev
Faculty of Mathematics and Informatics, University of Plovdiv, 4000 Plovdiv, Bulgaria
*
Author to whom correspondence should be addressed.
Mathematics 2021, 9(2), 150; https://doi.org/10.3390/math9020150
Submission received: 23 December 2020 / Revised: 7 January 2021 / Accepted: 10 January 2021 / Published: 12 January 2021
(This article belongs to the Special Issue Qualitative Theory of Fractional-Order Systems)
Versions Notes

Abstract

The goal of the present paper is to obtain sufficient conditions that guaranty the existence and uniqueness of an absolutely continuous fundamental matrix for a retarded linear fractional differential system with Caputo type derivatives and distributed delays. Some applications of the obtained result concerning the integral representation of the solutions are given too.
Keywords: Caputo fractional derivative; linear fractional system; distributed delay Caputo fractional derivative; linear fractional system; distributed delay

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MDPI and ACS Style

Kiskinov, H.; Madamlieva, E.; Veselinova, M.; Zahariev, A. Existence of Absolutely Continuous Fundamental Matrix of Linear Fractional System with Distributed Delays. Mathematics 2021, 9, 150. https://doi.org/10.3390/math9020150

AMA Style

Kiskinov H, Madamlieva E, Veselinova M, Zahariev A. Existence of Absolutely Continuous Fundamental Matrix of Linear Fractional System with Distributed Delays. Mathematics. 2021; 9(2):150. https://doi.org/10.3390/math9020150

Chicago/Turabian Style

Kiskinov, Hristo, Ekaterina Madamlieva, Magdalena Veselinova, and Andrey Zahariev. 2021. "Existence of Absolutely Continuous Fundamental Matrix of Linear Fractional System with Distributed Delays" Mathematics 9, no. 2: 150. https://doi.org/10.3390/math9020150

APA Style

Kiskinov, H., Madamlieva, E., Veselinova, M., & Zahariev, A. (2021). Existence of Absolutely Continuous Fundamental Matrix of Linear Fractional System with Distributed Delays. Mathematics, 9(2), 150. https://doi.org/10.3390/math9020150

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