Functional numerical methods: applications to abstract fractional calculus
type: Item
instance of: scholarly article
title: Functional numerical methods: applications to abstract fractional calculus
zbMATH Open document ID: 1386.65148
DOI: 10.1007/978-3-319-69526-6
author: George A. Anastassiou
author: Ioannis Konstantinos Argyros
published in: Studies in Systems, Decision and Control
publication date: 2017-12-11T00:00:00Z
review text: This book presents applications of Newton-like and other similar methods, e.g., implicit and explicit methods for abstract functional equations involving fractional derivatives. The book contains ten chapters, and all the first eight chapters are structured with introduction, semilocal convergence for implicit methods and semilocal convergence of explicit methods, and brief applications to fractional calculus. The first three sections are always very similar to each other, and thus the whole book is easy to read. However, the book does not contain any exercise, nor extensive references (about 20 each), so it seems not a very useful reference on the topic of functional numerical methods nor fractional calculus.
reviewed by: Bangti Jin
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 65Q20
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 65-02
zbMATH DE Number: 6817100
zbMATH Keywords: nonlinear equations
zbMATH Keywords: functional equation
zbMATH Keywords: fractional calculus
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-319-69526-6
OpenAlex ID: W2765158900
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description: scientific article; zbMATH DE number 6817100