Theory and Numerical Approximations of Fractional Integrals and Derivatives
Published on 30. December 2019
Book
Paperback/Softback
312 pages
978-1-61197-587-1 (ISBN)
Description
Due to its ubiquity across a variety of fields in science and engineering, fractional calculus has gained momentum in industry and academia. While a number of books and papers introduce either fractional calculus or numerical approximations, no current literature provides a comprehensive collection of both topics. This monograph introduces fundamental information on fractional calculus and provides a detailed treatment of existing numerical approximations.
Theory and Numerical Approximations of Fractional Integrals and Derivatives presents an inclusive review of fractional calculus in terms of theory and numerical methods and systematically examines almost all existing numerical approximations for fractional integrals and derivatives. The authors consider the relationship between the fractional Laplacian and the Riesz derivative, a key component absent from other related texts, and highlight recent developments, including their own research and results.
The book's core audience spans several fractional communities, including those interested in fractional partial differential equations, the fractional Laplacian, and applied and computational mathematics. Advanced undergraduate and graduate students will find the material suitable as a primary or supplementary resource for their studies.
Theory and Numerical Approximations of Fractional Integrals and Derivatives presents an inclusive review of fractional calculus in terms of theory and numerical methods and systematically examines almost all existing numerical approximations for fractional integrals and derivatives. The authors consider the relationship between the fractional Laplacian and the Riesz derivative, a key component absent from other related texts, and highlight recent developments, including their own research and results.
The book's core audience spans several fractional communities, including those interested in fractional partial differential equations, the fractional Laplacian, and applied and computational mathematics. Advanced undergraduate and graduate students will find the material suitable as a primary or supplementary resource for their studies.
More details
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Weight
333 gr
ISBN-13
978-1-61197-587-1 (9781611975871)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Changpin Li is a professor in the mathematics department at Shanghai University. His research interests include numerical methods and computations for fractional partial differential equations and fractional dynamics. A 2012 recipient of the Riemann-Liouville Award for Best FDA Paper (theory), Li is editor-in-chief of the De Gruyter book series Fractional Calculus in Applied Sciences and Engineering and serves on the editorial boards of several journals.
Min Cai is a Ph.D. student in the mathematics department at Shanghai University whose main research interests include numerical methods and computations for fractional partial differential equations.
Min Cai is a Ph.D. student in the mathematics department at Shanghai University whose main research interests include numerical methods and computations for fractional partial differential equations.