Mathematical Methods in Engineering

✍ Scribed by Kenan Taş, Dumitru Baleanu, J. A. Tenreiro Machado

• Publisher: Springer International Publishing
• Year: 2019
• Tongue: English
• Leaves: 266
• Series: Nonlinear Systems and Complexity 24
• Edition: 1st ed.
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-viii
Front Matter ....Pages 1-1
New Solutions of the Functional Equations and Their Possible Application in Treatment of Complex Systems (R. R. Nigmatullin, B. N. Nougmanov)....Pages 3-24
Empirical Copula in the Detection of Batch Effects (Melih Ağraz, Vilda Purutçuoğlu)....Pages 25-39
Finite Element Method for Schnakenberg Model (Ozlem Ersoy Hepson, Idris Dag)....Pages 41-51
Fault-Tolerant Control of the (13C) Isotope Separation Cascade (Eva-H. Dulf, Cristina-I. Muresan, Clara M. Ionescu)....Pages 53-65
Power Series Transform in Cryptology and ASCII (Muharrem Tuncay Gençoğlu, Dumitru Baleanu)....Pages 67-74
The General Form of Maximally Accretive Quasi-differential Operators for First Order (Pembe Ipek, Zameddin I. Ismailov)....Pages 75-86
Modeling of Biochemical Networks via Classification and Regression Tree Methods (Deniz Seçilmiş, Vilda Purutçuoğlu)....Pages 87-102
Solving the Nonlinear System of Third-Order Boundary Value Problems (Ali Akgül, Esra Karatas Akgül, Yasir Khan, Dumitru Baleanu)....Pages 103-119
CG-Lasso Estimator for Multivariate Adaptive Regression Spline (Pakize Taylan, Gerhard Wilhelm Weber)....Pages 121-136
Front Matter ....Pages 137-137
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
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
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
A New Numerical Approximation of Fractional Differentiation: Upwind Discretization for Riemann-Liouville and Caputo Derivatives (Abdon Atangana)....Pages 193-212
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
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
Back Matter ....Pages 257-264

✦ Subjects

Engineering; Complexity; Complex Systems; Applications of Nonlinear Dynamics and Chaos Theory