SEMA SIMAI Springer Series

Nonlocal and Fractional Operators

Editors: Beghin, Luisa, Mainardi, Francesco, Garrappa, Roberto (Eds.)

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About this book

The purpose of this volume is to explore new bridges between different research areas involved in the theory and applications of the fractional calculus. In particular, it collects scientific and original contributions to the development of the theory of nonlocal and fractional operators. Special attention is given to the applications in mathematical physics, as well as in probability. Numerical methods aimed to the solution of problems with fractional differential equations are also treated in the book. The contributions have been presented during the international workshop "Nonlocal and Fractional Operators", held in Sapienza University of Rome, in April 2019, and dedicated to the retirement of Prof. Renato Spigler (University Roma Tre). Therefore we also wish to dedicate this volume to this occasion, in order to celebrate his scientific contributions in the field of numerical analysis and fractional calculus. The book is suitable for mathematicians, physicists and applied scientists interested in the various aspects of fractional calculus.


About the authors

Luisa Beghin is Full Professor in Probability and Mathematical Statistics at Sapienza University of Rome (Italy). Her research interests include stochastic processes linked to fractional differential equations, Lévy processes, fractional and anomalous diffusions.

Roberto Garrappa is Associate Professor of Numerical Analysis at the University of Bari (Italy). His current research interests include numerical solution of ordinary and partial differential equations of fractional order and evaluation of special functions. He is the author of several numerical Matlab codes for fractional-order problems available in the MathWorks website.

Francesco Mainardi is retired Professor of Mathematical Physics from the University of Bologna, where he taught this course for more than 40 years. His research concerns several topics of applied mathematics, including  diffusion and wave problems, asymptotic methods, integral transforms, special functions, fractional calculus and  non-Gaussian stochastic processes.

Table of contents (15 chapters)

Table of contents (15 chapters)
  • On the Transient Behaviour of Fractional

    Pages 1-22

    Ascione, Giacomo (et al.)

  • Sinc Methods for Lévy–Schrödinger Equations

    Pages 23-56

    Baumann, Gerd

  • Stochastic Properties of Colliding Hard Spheres in a Non-equilibrium Thermal Bath

    Pages 57-70

    Bazzani, Armando (et al.)

  • Electromagnetic Waves in Non-local Dielectric Media: Derivation of a Fractional Differential Equation Describing the Wave Dynamics

    Pages 71-82

    Cardinali, Alessandro

  • Some New Exact Results for Non-linear Space-Fractional Diffusivity Equations

    Pages 83-100

    Caserta, Arrigo (et al.)

Buy this book

eBook $109.00
price for Mexico
  • ISBN 978-3-030-69236-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for Mexico
  • ISBN 978-3-030-69235-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Nonlocal and Fractional Operators
Editors
  • Luisa Beghin
  • Francesco Mainardi
  • Roberto Garrappa
Series Title
SEMA SIMAI Springer Series
Series Volume
26
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-69236-0
DOI
10.1007/978-3-030-69236-0
Hardcover ISBN
978-3-030-69235-3
Series ISSN
2199-3041
Edition Number
1
Number of Pages
XII, 308
Number of Illustrations
11 b/w illustrations, 63 illustrations in colour
Topics