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OverviewDue 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. Full Product DetailsAuthor: Changpin Li , Min CaiPublisher: Society for Industrial & Applied Mathematics,U.S. Imprint: Society for Industrial & Applied Mathematics,U.S. Weight: 0.333kg ISBN: 9781611975871ISBN 10: 1611975875 Pages: 312 Publication Date: 30 December 2019 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationChangpin 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. Tab Content 6Author Website:Countries AvailableAll regions |