New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem

Autor:	Mansur Alam, Shruti Dubey, Dumitru Baleanu
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Cauchy problem Analytic semigroup Pure mathematics QA299.6-433 Algebra and Number Theory Partial differential equation Hölder continuity Mathematical analysis Fractional calculus Order (ring theory) Ordinary differential equation Solution operator Strict solution Interpolation space Analysis Mathematics Interpolation
Zdroj:	Boundary Value Problems, Vol 2021, Iss 1, Pp 1-18 (2021)
ISSN:	1687-2770
Popis:	We know that interpolation spaces in terms of analytic semigroup have a significant role into the study of strict Hölder regularity of solutions of classical abstract Cauchy problem (ACP). In this paper, we first construct interpolation spaces in terms of solution operators in fractional calculus and characterize these spaces. Then we establish strict Hölder regularity of mild solutions of fractional order ACP.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06da28b4807ffdec56ed19e9178767df https://doaj.org/article/c3a510369e2745c29b604632068b74a5 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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