Fractional Derivatives with Mittag-Leffler Kernel

Trends and Applications in Science and Engineering

  • José Francisco Gómez
  • Lizeth Torres
  • Ricardo Fabricio Escobar

Part of the Studies in Systems, Decision and Control book series (SSDC, volume 194)

Table of contents

  1. Front Matter
    Pages i-viii
  2. J. E. Solís-Pérez, J. F. Gómez-Aguilar, R. F. Escobar-Jiménez, L. Torres, V. H. Olivares-Peregrino
    Pages 81-95
  3. Emile F. Doungmo Goufo, Abdon Atangana, Melusi Khumalo
    Pages 117-134
  4. Sunil Kumar, Amit Kumar, J. J. Nieto, B. Sharma
    Pages 235-251
  5. V. F. Morales-Delgado, J. F. Gómez-Aguilar, L. Torres, R. F. Escobar-Jiménez, M. A. Taneco-Hernandez
    Pages 269-291
  6. K. M. Saad, J. F. Gómez-Aguilar, A. Atangana, R. F. Escobar-Jiménez
    Pages 293-308

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.


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

  • José Francisco Gómez
    • 1
  • Lizeth Torres
    • 2
  • Ricardo Fabricio Escobar
    • 3
  1. 1.CONACYT-Tecnológico Nacional de MéxicoCentro Nacional de Investigación y Desarrollo TecnológicoCuernavacaMexico
  2. 2.CONACYT-Instituto de IngenieríaUniversidad Nacional Autónoma de MéxicoMexico CityMexico
  3. 3.Tecnológico Nacional de MéxicoCentro Nacional de Investigación y Desarrollo TecnológicoCuernavacaMexico

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-030-11661-3
  • Online ISBN 978-3-030-11662-0
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • Buy this book on publisher's site
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