Solutions of linear systems of moment differential equations via generalized matrix exponentials

A generalized exponential matrix based on the construction of kernel operators for generalized summability is defined and analyzing its main properties, generalizing the classical exponential matrix and fractional exponential matrix. This object serves as a practical tool to express the solutions of...

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Vydané v:	Journal of Differential Equations Ročník 372; s. 591 - 611
Hlavní autori:	Lastra, Alberto, Prisuelos-Arribas, Cruz
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 05.11.2023
Predmet:	Generalized matrix exponential Kernels for summability Strongly regular sequence System moment differential equations Kernels for summability System moment differential equations Strongly regular sequence 34M03 15A16 Generalized matrix exponential 30D15 34A08
ISSN:	0022-0396, 1090-2732
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Popis
Shrnutí:	A generalized exponential matrix based on the construction of kernel operators for generalized summability is defined and analyzing its main properties, generalizing the classical exponential matrix and fractional exponential matrix. This object serves as a practical tool to express the solutions of linear systems of moment differential equations in a compact manner, in the spirit of the classical exponential matrix.
ISSN:	0022-0396 1090-2732
DOI:	10.1016/j.jde.2023.07.012