Mathematical Methods in Engineering: Theoretical Aspects (Nonlinear Systems and Complexity, 23) - Hardcover

Hardcover

ISBN 10: 3319910647 ISBN 13: 9783319910642

Publisher: Springer, 2018

Synopsis

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.

About this title

About the Author

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 Institute of Engineering, Polytechnic of Porto, Portugal.

From the Back Cover

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.
  

Edition details

• Publisher: Springer
• Publication date: 2018
• Language: English
• ISBN 10: 3319910647
• ISBN 13: 9783319910642
• Binding: Hardcover
• Edition number: 1
• Number of pages: 286
• Editor: Taş Kenan, Baleanu Dumitru, Machado J. A. Tenreiro