Developments in Mathematics

Fractional Equations and Models

Theory and Applications

Authors: Sandev, Trifce, Tomovski, Zivorad

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  • Offers a detailed introduction to and advanced theory of fractional calculus
  • Pursues a step-by-step approach to solve related problems
  • Includes material that will be of interest to mathematicians, physicists, chemists, biologists and engineers
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eBook 71,68 €
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  • ISBN 978-3-030-29614-8
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Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-3-030-29613-1
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Softcover 88,39 €
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  • ISBN 978-3-030-29616-2
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About this book

Fractional equations and models play an essential part in the description of anomalous dynamics in complex systems. Recent developments in the modeling of various physical, chemical and biological systems have clearly shown that fractional calculus is not just an exotic mathematical theory, as it might have once seemed. The present book seeks to demonstrate this using various examples of equations and models with fractional and generalized operators. Intended for students and researchers in mathematics, physics, chemistry, biology and engineering, it systematically offers a wealth of useful tools for fractional calculus.

About the authors

Trifce Sandev is a research scientist at the Macedonian Academy of Sciences and Arts and an Assistant Professor of Theoretical Physics at the Faculty of Natural Sciences and Mathematics in Skopje. After completing his PhD in Theoretical Physics in 2012, he was a postdoctoral researcher at the Max Planck Institute for the Physics of Complex Systems in Dresden. Selected for the Presidential Award for Best Young Scientist in Macedonia (2011), his main research interest is in stochastic processes in complex systems.
Živorad Tomovski has held the position of Full Professor at the Institute of Mathematics at Ss. Cyril and Methodius University in Skopje, Macedonia since 2010. He completed his PhD in Approximation Theory and Fourier Analysis in 2000, and has since held visiting researcher positions at many universities and research institutes across Europe. He has published over 100 journal articles and international conference papers in the areas of Pure and Applied Mathematical Sciences.

Reviews

“The book is written in a very concise and precise mathematical manner. The results concerning different types of fractional equations gathered in the book may be a valuable resource to researchers interested in the modeling of various processes related to anomalous diffusion behavior.” (Krzysztof Rogowski, Mathematical Reviews, August, 2021)

“This book is a very specialized text that considers fractional calculus and fractional differential equations used in the study of fractional stochastic and kinetic models. … The current book is essentially a monograph that explores applications using several variations of the fractional calculus.” (MAA Reviews, March 1, 2020)


Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook 71,68 €
price for Spain (gross)
  • ISBN 978-3-030-29614-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-3-030-29613-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 88,39 €
price for Spain (gross)
  • ISBN 978-3-030-29616-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Fractional Equations and Models
Book Subtitle
Theory and Applications
Authors
Series Title
Developments in Mathematics
Series Volume
61
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-29614-8
DOI
10.1007/978-3-030-29614-8
Hardcover ISBN
978-3-030-29613-1
Softcover ISBN
978-3-030-29616-2
Series ISSN
1389-2177
Edition Number
1
Number of Pages
XVIII, 345
Number of Illustrations
35 b/w illustrations, 25 illustrations in colour
Topics