The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
type: Item
instance of: scholarly article
title: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
zbMATH Open document ID: 1215.34001
DOI: 10.1007/978-3-642-14574-2
author: Kai Diethelm
published in: Lecture Notes in Mathematics
publication date: 2010-08-17T00:00:00Z
review text: This monograph is intended for use by graduate students, mathematicians and applied scientists who have an interest in fractional differential equations. The Caputo derivative is the main focus of the book, because of its relevance to applications. The author also describes the classical Riemann-Liouville derivative and points out the ways in which the theoretical results are different in this case. The monograph may be regarded as a fairly self-contained reference work and a comprehensive overview of the current state of the art. It contains many results and insights brought together for the first time, including some new material that has not, to my knowledge, appeared elsewhere. The material selected for the book is fairly classical, in the sense that key concepts such as existence and uniqueness theory, stability of solutions under perturbations, and both initial and boundary value problems are discussed. The author states that much of the material has been used in a course for graduate students, for whom it would be ideally suited alongside the other target audiences.
reviewed by: Neville J. Ford
Mathematics Subject Classification ID: 34-02
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 5771642
zbMATH Keywords: Caputo fractional derivative
zbMATH Keywords: existence
zbMATH Keywords: uniqueness, initial value problem
zbMATH Keywords: boundary value problems
zbMATH Keywords: single term equation
zbMATH Keywords: multi-term equation
zbMATH Keywords: Riemann-Liouville derivative
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-642-14574-2
OpenAlex ID: W4247953052
description: scientific article; zbMATH DE number 5771642