Variational analysis has been recognized as a fruitful area in mathematics that on the one
hand deals with the study of optimization and equilibrium problems and on the other hand …

From economics and business to the biological sciences to physics and engineering,
professionals successfully use the powerful mathematical tool of optimal control to make …

Optimal control theory is branch of mathematics that aims to optimize a solution to a
dynamical system. While the concept of using optimal control theory to improve treatment …

For dynamic distributed systems modeled by partial differential equations, existing methods
of sensor location in parameter estimation experiments are either limited to one-dimensional …

This book provides an introduction to some modern computational techniques for
optimization problems governed by partial differential equations (PDEs). The optimization …

Pattern formation arising from the reaction-diffusion epidemic model is a space-time
depiction of the distribution and transmission of infectious diseases. Disease control can be …

In a fractional optimal control problem, the integer order derivative is replaced by a fractional
order derivative. The fractional derivative embeds implicitly the time delays in an optimal …

The relaxation method has enjoyed an intensive development during many decades and
this new edition of this comprehensive text reflects in particular the main achievements in the …

In this paper, sharp a posteriori error estimators are derived for a class of distributed elliptic
optimal control problems. These error estimators are shown to be useful in adaptive finite …

We prove the well-posedness and smoothing property of a fractional optimal control model
with integral constraints governed by a hidden-memory variable-order Caputo time …