Evolution Equations with Liouville Derivative on <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="double-struck"> R</mi></mrow></semantics></math></inline-formula> without Initial Conditions

New classes of evolution differential equations with the Liouville derivative in Banach spaces are studied. Equations are considered on the whole real line and are not endowed by the initial conditions. Using the methods of the Fourier transform theory, we prove the unique solvability in the sense o...

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Bibliographic Details

Published in:	Mathematics
Main Authors:	Vladimir E. Fedorov, Nadezhda M. Skripka
Format:	Article
Language:	English
Published:	MDPI AG 2024-02-01
Subjects:	Liouville derivative differential equation without initial conditions Fourier transform
Online Access:	https://www.mdpi.com/2227-7390/12/4/572