Mathematical Methods in Engineering

Applications in Dynamics of Complex Systems

  • Kenan Taş
  • Dumitru Baleanu
  • J. A. Tenreiro Machado

Part of the Nonlinear Systems and Complexity book series (NSCH, volume 24)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Modelling of the Dynamics of Complex Systems

    1. Front Matter
      Pages 1-1
    2. Melih Ağraz, Vilda Purutçuoğlu
      Pages 25-39
    3. Ozlem Ersoy Hepson, Idris Dag
      Pages 41-51
    4. Eva-H. Dulf, Cristina-I. Muresan, Clara M. Ionescu
      Pages 53-65
    5. Muharrem Tuncay Gençoğlu, Dumitru Baleanu
      Pages 67-74
    6. Deniz Seçilmiş, Vilda Purutçuoğlu
      Pages 87-102
    7. Ali Akgül, Esra Karatas Akgül, Yasir Khan, Dumitru Baleanu
      Pages 103-119
    8. Pakize Taylan, Gerhard Wilhelm Weber
      Pages 121-136
  3. Fractional Calculus Applications

  4. Back Matter
    Pages 257-264

About this book


This book presents recent developments in nonlinear dynamics with an emphasis on complex systems. The volume illustrates new methods to characterize the solutions of nonlinear dynamics associated with complex systems. This book contains the following topics: new solutions of the functional equations, optimization algorithm for traveling salesman problem, fractals, control, fractional calculus models, fractional discretization, local fractional partial differential equations and their applications, and solutions of fractional kinetic equations.


complex systems Ant Colony Optimization Algorithm salesman problem Fractal Time Motion Finite Element Method Schnackenberg Model Empirical Copula Riemann-Liouville and Caputo derivatives Fractional Kinetic Equations Conformable Adomian Decomposition Method Conformable Differential Transform Method Systems of Differential Equations

Editors and affiliations

  • Kenan Taş
    • 1
  • Dumitru Baleanu
    • 2
  • J. A. Tenreiro Machado
    • 3
  1. 1.Department of MathematicsCankaya UniversityAnkaraTurkey
  2. 2.Department of MathematicsÇankaya UniversityAnkaraTurkey
  3. 3.Instituto Superior de Engenharia do PortoPortoPortugal

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-90971-4
  • Online ISBN 978-3-319-90972-1
  • Series Print ISSN 2195-9994
  • Series Online ISSN 2196-0003
  • Buy this book on publisher's site
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