Precise Conditions on the Unique Solvability of the Linear Fractional Functional Differential Equations Related to the ς-Nonpositive Operators

Autor:	Natalia Dilna
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	fractional order functional differential equations nonpositive operator unique solvability Caputo derivative exact conditions the pantograph-type model from electrodynamics Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 7, Iss 10, p 720 (2023)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract7100720
Popis:	Exact conditions for the existence of the unique solution of a boundary value problem for linear fractional functional differential equations related to ς-nonpositive operators are established. The exact solvability conditions are based on the a priori estimation method. All theoretical investigations are illustrated by an example of the pantograph-type model from electrodynamics.
Databáze:	Directory of Open Access Journals
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