Theory and Numerical Approximations of Fractional Integrals and Derivatives - Softcover

Changpin Li (author) & Min Cai (author)

Softcover

ISBN 10: 1611975875 ISBN 13: 9781611975871

Publisher: SIAM - Society for Industrial and Applied Mathematics, 2019

Synopsis

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.

About this title

About the Author

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.

Edition details

• Publisher: SIAM - Society for Industrial and Applied Mathematics
• Publication date: 2019
• Language: English
• ISBN 10: 1611975875
• ISBN 13: 9781611975871
• Binding: Paperback
• Number of pages: 312