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
Kenan Taş
Engineering Mathematics partial metric spaces spectral expansions Irregularity in Graphs and Inverse Problems Hyers-Ulam Stability Hyers-Ulam-Rassias Stability Integro-Differential Equations Mb-metric spaces q-Bernstein operators fractional diffusion-absorption equation Nonparametric Regression by Conic Quadratic Programming Particle Swarm Optimization Method complexity partial differential equations
“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)
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