Exact Solvability Conditions for the Non-Local Initial Value Problem for Systems of Linear Fractional Functional Differential Equations

Autor:	Natalia Dilna, Michal Fečkan
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	fractional order functional differential equations unique solvability Caputo derivative initial value problem quasi-interior element minihedral cone Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 10, p 1759 (2022)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math10101759
Popis:	The exact conditions sufficient for the unique solvability of the initial value problem for a system of linear fractional functional differential equations determined by isotone operators are established. In a sense, the conditions obtained are optimal. The method of the test elements intended for the estimation of the spectral radius of a linear operator is used. The unique solution is presented by the Neumann’s series. All theoretical investigations are shown in the examples. A pantograph-type model from electrodynamics is studied.
Databáze:	Directory of Open Access Journals
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