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Mathematical Methods in Engineering

Applications in Dynamics of Complex Systems

  • Book
  • © 2019

Overview

Editors:
  1. Kenan Taş

    1. Department of Mathematics, Cankaya University, Ankara, Turkey

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  2. Dumitru Baleanu

    1. Department of Mathematics, Çankaya University, Ankara, Turkey

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  3. J. A. Tenreiro Machado

    1. Instituto Superior de Engenharia do Porto, Porto, Portugal

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  • Discusses novel insights into nonlinear dynamical systems and new theory and methodology applied to nonlinear physics, nonlinear engineering and nonlinear social science
  • Includes functional equations and their application in treatment of complex systems
  • Presents local fractional partial differential equations and their applications in physics

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

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Table of contents (15 chapters)

  1. Front Matter

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

    1. Front Matter

      Pages 1-1
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    2. New Solutions of the Functional Equations and Their Possible Application in Treatment of Complex Systems

      • R. R. Nigmatullin, B. N. Nougmanov
      Pages 3-24

    3. Empirical Copula in the Detection of Batch Effects

      • Melih Ağraz, Vilda Purutçuoğlu
      Pages 25-39

    4. Finite Element Method for Schnakenberg Model

      • Ozlem Ersoy Hepson, Idris Dag
      Pages 41-51

    5. Fault-Tolerant Control of the (13C) Isotope Separation Cascade

      • Eva-H. Dulf, Cristina-I. Muresan, Clara M. Ionescu
      Pages 53-65

    6. Power Series Transform in Cryptology and ASCII

      • Muharrem Tuncay Gençoğlu, Dumitru Baleanu
      Pages 67-74

    7. The General Form of Maximally Accretive Quasi-differential Operators for First Order

      • Pembe Ipek, Zameddin I. Ismailov
      Pages 75-86

    8. Modeling of Biochemical Networks via Classification and Regression Tree Methods

      • Deniz Seçilmiş, Vilda Purutçuoğlu
      Pages 87-102

    9. Solving the Nonlinear System of Third-Order Boundary Value Problems

      • Ali Akgül, Esra Karatas Akgül, Yasir Khan, Dumitru Baleanu
      Pages 103-119

    10. CG-Lasso Estimator for Multivariate Adaptive Regression Spline

      • Pakize Taylan, Gerhard Wilhelm Weber
      Pages 121-136

  3. Fractional Calculus Applications

    1. Front Matter

      Pages 137-137
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    2. Multiscale Characterization and Model for the Dynamic Behavior of Ferroelectric Materials Using Fractional Operators

      • Benjamin Ducharne, Grzegorz Litak, Bin Zhang, Bhaawan Gupta
      Pages 139-152

    3. A Transient Flow of a Non-Newtonian Fluid Modelled by a Mixed Time-Space Derivative: An Improved Integral-Balance Approach

      • Jordan Hristov
      Pages 153-174

    4. Exact Travelling Wave Solutions for Local Fractional Partial Differential Equations in Mathematical Physics

      • Xiao-Jun Yang, Feng Gao, J. A. Tenreiro Machado, Dumitru Baleanu
      Pages 175-191

    5. A New Numerical Approximation of Fractional Differentiation: Upwind Discretization for Riemann-Liouville and Caputo Derivatives

      • Abdon Atangana
      Pages 193-212

    6. Certain Fractional Integrals and Solutions of Fractional Kinetic Equations Involving the Product of S-Function

      • Mehar Chand, Zakia Hammouch, Joshua Kiddy K. Asamoah, Dumitru Baleanu
      Pages 213-244

    7. An Autotuning Method for a Fractional Order PD Controller for Vibration Suppression

      • Cristina I. Muresan, Robin De Keyser, Isabela R. Birs, Silviu Folea, Ovidiu Prodan
      Pages 245-256

  4. Back Matter

    Pages 257-264
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Keywords

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.






Editors and Affiliations

  • Department of Mathematics, Cankaya University, Ankara, Turkey

    Kenan Taş

  • Department of Mathematics, Çankaya University, Ankara, Turkey

    Dumitru Baleanu

  • Instituto Superior de Engenharia do Porto, Porto, Portugal

    J. A. Tenreiro Machado

About the editors

Dr. Kenan Tas is a Professor and Provost Of The Çankaya University, Ankara, Turkey. Dr. Dumitru Baleanu is a Professor with Institute of Space Sciences, Magurele-Bucharest, Romania and Visiting Staff Member At Cankaya University, Ankara, Turkey.  Dr. J.A. Tenreiro Machado is Principal Coordinator Professor within the Department of Electrical Engineering, Isep-Institute of Engineering, Polytechnic of Porto, Portugal.

Bibliographic Information

  • Book Title: Mathematical Methods in Engineering

  • Book Subtitle: Applications in Dynamics of Complex Systems

  • Editors: Kenan Taş, Dumitru Baleanu, J. A. Tenreiro Machado

  • Series Title: Nonlinear Systems and Complexity

  • DOI: https://doi.org/10.1007/978-3-319-90972-1

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2019

  • Hardcover ISBN: 978-3-319-90971-4Published: 14 August 2018

  • Softcover ISBN: 978-3-030-08145-4Published: 05 January 2019

  • eBook ISBN: 978-3-319-90972-1Published: 02 August 2018

  • Series ISSN: 2195-9994

  • Series E-ISSN: 2196-0003

  • Edition Number: 1

  • Number of Pages: VIII, 264

  • Number of Illustrations: 24 b/w illustrations, 57 illustrations in colour

  • Topics: Complexity, Complex Systems, Applications of Nonlinear Dynamics and Chaos Theory

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