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Mathematical Methods in Engineering: Applications in Dynamics of Complex Systems de Kenan Taş

Mathematical Methods in Engineering: Applications in Dynamics of Complex Systems: Nonlinear Systems and Complexity, cartea 24

Editat de Kenan Taş, Dumitru Baleanu, J. A. Tenreiro Machado
en Limba Engleză Hardback – 14 aug 2018
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.



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Specificații

ISBN-13: 9783319909714
ISBN-10: 3319909711
Pagini: 250
Ilustrații: VIII, 264 p. 81 illus., 57 illus. in color.
Dimensiuni: 155 x 235 mm
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Springer
Seria Nonlinear Systems and Complexity

Locul publicării:Cham, Switzerland

Cuprins

New solutions of the functional equations and their possible application in treatment of complex systems.- A modified and enhanced Ant Colony Optimization Algorithm for traveling salesman problem.- Fractal Time Motion on Particle Diffusion.- An Autotuning Method for a Fractional Order PD Controller for Vibration Suppression.- Advanced control strategies of the 13C isotope separation columns cascade.- Multiscale characterization and model for the dynamic behavior of ferroelectric materials using fractional operators.- Energy decay in a quasilinear system with finite and infinite memories.- Finite Element Method for Schnackenberg Model.- Empirical Copula in the Detection of Batch Effects.- Exact traveling wave solutions for local fractional partial differential equations in mathematical physics.- A new numerical approximation of fractional discretization: Upwind discretization for Riemann-Liouville and Caputo derivatives.- Certain Fractional Integrals and Solutions of Fractional Kinetic Equations involving the product of S-function.- Application of Conformable Adomian Decomposition Method and Conformable Differential Transform Method to Systems of Differential Equations

Notă biografică

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.

Caracteristici

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

Recenzii

“All the papers are presented as theorems, and there are no problems to show readers their application. Each chapter has extensive citations. Some of the theorems have derivations that are illustrated by graphs. … Summing Up: Recommended. Researchers, faculty, and professionals.” (N. Sadanand, Choice, Vol. 56 (11), July, 2019)

Textul de pe ultima copertă

This book collects chapters dealing with some of the theoretical aspects needed to properly discuss the dynamics of complex engineering systems. The book illustrates advanced theoretical development and new techniques designed to better solve problems within the nonlinear dynamical systems. Topics covered in this volume include advances on fixed point results on partial metric spaces, localization of the spectral expansions associated with the partial differential operators, irregularity in graphs and inverse problems, Hyers-Ulam and Hyers-Ulam-Rassias stability for integro-differential equations, fixed point results for mixed multivalued mappings of Feng-Liu type on Mb-metric spaces, and the limit q-Bernstein operators, analytical investigation on the fractional diffusion absorption equation.
 
  • Brings new insights into the field of applied mathematical methods applied in engineering science including nonparametric regression by conic quadratic programming and fractional order filter discretization by particle swarm optimization method
  • Demonstrates the existence of a solution for a sum fractional finite difference inclusion;
  • Presents multiple solutions of second order differential equations.