On time fractional derivatives in fractional Sobolev spaces and applications to fractional ordinary differential equations
type: Item
instance of: scholarly article
title: On time fractional derivatives in fractional Sobolev spaces and applications to fractional ordinary differential equations
zbMATH Open document ID: 1478.26005
DOI: 10.1007/978-3-030-69236-0_15
author: M. Yamamoto
publication date: 2021-08-30T00:00:00Z
review text: The author of this article formulates two kinds of time fractional derivatives of Caputo type with order α in fractional Sobolev spaces and proves that they are isomorphisms between the corresponding Sobolev space of order α and the \(L_2\)-space. On the basis of such fractional derivatives, he is able to formulate initial value problems for time fractional ordinary differential equations and to prove the well-posedness. For the entire collection see [Zbl 1470.26002].
reviewed by: Samir Bashir Hadid
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34K37
zbMATH DE Number: 7388313
zbMATH Keywords: functional derivatives and integrals
zbMATH Keywords: fractional differential equations
zbMATH Keywords: functional-differential equations with fractional derivatives
MaRDI profile type: Publication
full work available at URL: 978-3-030-69236-0 15
OpenAlex ID: W3184839022
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description: scientific article; zbMATH DE number 7388313