Theory and Numerical Approximations of Fractional Integrals and Derivatives

Changpin Li (author) & Min Cai (author)

ISBN 10: 1611975875 / ISBN 13: 9781611975871

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

Codice articolo 401297298

Riassunto:

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.

Dati bibliografici

Titolo: Theory and Numerical Approximations of ...
Casa editrice: SIAM - Society for Industrial and Applied Mathematics
Data di pubblicazione: 2019
Legatura: Brossura
Condizione: New