Cauchy Problem for an Abstract Evolution Equation of Fractional Order

Autor:	Maksim V. Kukushkin
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	evolution equations operator function fractional differential equations Abel–Lidskii basis property Schatten–von Neumann class Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 7, Iss 2, p 111 (2023)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract7020111
Popis:	In this paper, we define an operator function as a series of operators corresponding to the Taylor series representing the function of the complex variable. In previous papers, we considered the case when a function has a decomposition in the Laurent series with the infinite principal part and finite regular part. Our central challenge is to improve this result having considered as a regular part an entire function satisfying the special condition of the growth regularity. As an application, we consider an opportunity to broaden the conditions imposed upon the second term not containing the time variable of the evolution equation in the abstract Hilbert space.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/600a3d1a03634bbbb41d012a5a565fe1 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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