This book explores recent developments in theoretical research and
mathematical modelling of real-world complex systems, organized in four
parts.
The first part of the book is devoted to the mathematical tools for the
design and analysis in engineering and social science study cases. We
discuss the periodic evolutions in nonlinear chemical processes,
vibro-compact systems and their behaviour, different types of
metal-semiconductor self-assembled samples, made of silver nanowires and
zinc oxide nanorods.
The second part of the book is devoted to mathematical description and
modelling of the critical events, climate change and robust emergency
scales. In three chapters, we consider a climate-economy model with
endogenous carbon intensity and the behaviour of Tehran Stock Exchange
market under international sanctions.
The third part of the book is devoted to fractional dynamic and
fractional control problems. We discuss the novel operational matrix
technique for variable-order fractional optimal control problems, the
nonlinear variable-order time fractional convection-diffusion equation
with generalized polynomials
The fourth part of the book concerns solvability and inverse problems in
differential and integro-differential equations.
The book facilitates a better understanding of the mechanisms and
phenomena in nonlinear dynamics and develops the corresponding
mathematical theory to apply nonlinear design to practical engineering.
It can be read by mathematicians, physicists, complex systems
scientists, IT specialists, civil engineers, data scientists and urban
planners.
