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Textbook in PDF format 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. Advances on Fixed Point Results on Partial Metric Spaces Fixed Point Results for Mixed Multivalued Mappings of Feng-Liu Type on M b -Metric Spaces Hyers-Ulam and Hyers-Ulam-Rassias Stability for a Class of Integro-Differential Equations Exact Solutions, Lie Symmetry Analysis and Conservation Laws of the Time Fractional Diffusion-Absorption Equation Integral Balance Approach to 1-D Space-Fractional Diffusion Models Fractional Order Filter Discretization by Particle Swarm Optimization Method On the Existence of Solution for a Sum Fractional Finite Difference Inclusion Comparison on Solving a Class of Nonlinear Systems of Partial Differential Equations and Multiple Solutions of Second Order Differential Equations Effect of Edge Deletion and Addition on Zagreb Indices of Graphs The Limit q-Bernstein Operators with Varying q Localization of the Spectral Expansions Associated with the Partial Differential Operators Energy Decay in a Quasilinear System with Finite and Infinite Memories A Modified and Enhanced Ant Colony Optimization Algorithm for Traveling Salesman Problem A Note on the Upper Bound of Average Distance via Irregularity Index

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Tag K. Mathematical Methods in Engineering. Theoretical Aspects 2019.pdf 4.7 MB

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