Studies in Systems, Decision and Control

Fractional Derivatives with Mittag-Leffler Kernel

Trends and Applications in Science and Engineering

Editors: Gómez, José Francisco, Torres, Lizeth, Escobar, Ricardo Fabricio (Eds.)

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  • 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
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eBook $139.00
price for USA in USD (gross)
  • ISBN 978-3-030-11662-0
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Hardcover $179.99
price for USA in USD
  • ISBN 978-3-030-11661-3
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  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (18 chapters)

Table of contents (18 chapters)
  • Reproducing Kernel Method for Fractional Derivative with Non-local and Non-singular Kernel

    Akgül, Ali

    Pages 1-12

  • Necessary and Sufficient Optimality Conditions for Fractional Problems Involving Atangana–Baleanu’s Derivatives

    Bahaa, G. M. (et al.)

    Pages 13-33

  • Variable Order Mittag–Leffler Fractional Operators on Isolated Time Scales and Application to the Calculus of Variations

    Abdeljawad, Thabet (et al.)

    Pages 35-47

  • Modeling and Analysis of Fractional Leptospirosis Model Using Atangana–Baleanu Derivative

    Ullah, Saif (et al.)

    Pages 49-67

  • Dual Fractional Analysis of Blood Alcohol Model Via Non-integer Order Derivatives

    Abro, Kashif Ali (et al.)

    Pages 69-79

Buy this book

eBook $139.00
price for USA in USD (gross)
  • ISBN 978-3-030-11662-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-030-11661-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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
Series Volume
194
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-11662-0
DOI
10.1007/978-3-030-11662-0
Hardcover ISBN
978-3-030-11661-3
Series ISSN
2198-4182
Edition Number
1
Number of Pages
VIII, 341
Number of Illustrations
45 b/w illustrations, 42 illustrations in colour
Topics