Editors:
- Reports on cutting-edge theories and methods for fractional calculus
- Describes applications to real-world problems
- Shows how to model a range of physical phenomena by using differential operators with singular kernel
Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 194)
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Table of contents (18 chapters)
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Front Matter
About this book
This book offers a timely overview of fractional calculus applications, with a special emphasis on fractional derivatives with Mittag-Leffler kernel. The different contributions, written by applied mathematicians, physicists and engineers, offers a snapshot of recent research in the field, highlighting the current methodological frameworks together with applications in different fields of science and engineering, such as chemistry, mechanics, epidemiology and more. It is intended as a timely guide and source of inspiration for graduate students and researchers in the above-mentioned areas.
Keywords
- Non-local Fractional Derivatives
- Non-singular Fractional Derivatives
- Atangana-baleanu Fractional Derivatives
- Transient Heat Diffusion
- Non-singular Fading Memory
- Variational Principles on Isolated Time Scales
- Fractional Order Models of Diseases
- Fractional-order Gas Dynamics Equation
- Applications of Discrete Fractional Calculus
- Diffusion-like Models
- Hilbert Space Method
- Caputo Derivatives
- Adams-bashforth Scheme
- Fractional Diffusion Equation
- Analysis of Transmission Dynamics
- Numerical Simulation of Pattern Formation
Editors and Affiliations
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CONACYT-Tecnológico Nacional de México, Centro Nacional de Investigación y Desarrollo Tecnológico, Cuernavaca, Mexico
José Francisco Gómez
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CONACYT-Instituto de Ingeniería, Universidad Nacional Autónoma de México, Mexico City, Mexico
Lizeth Torres
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Tecnológico Nacional de México, Centro Nacional de Investigación y Desarrollo Tecnológico, Cuernavaca, Mexico
Ricardo Fabricio Escobar
Bibliographic Information
Book Title: Fractional Derivatives with Mittag-Leffler Kernel
Book Subtitle: Trends and Applications in Science and Engineering
Editors: José Francisco Gómez, Lizeth Torres, Ricardo Fabricio Escobar
Series Title: Studies in Systems, Decision and Control
DOI: https://doi.org/10.1007/978-3-030-11662-0
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-11661-3Published: 21 February 2019
eBook ISBN: 978-3-030-11662-0Published: 13 February 2019
Series ISSN: 2198-4182
Series E-ISSN: 2198-4190
Edition Number: 1
Number of Pages: VIII, 341
Number of Illustrations: 45 b/w illustrations, 42 illustrations in colour
Topics: Control and Systems Theory, Calculus, Numerical and Computational Physics, Simulation