Fractional Order Systems: Systems described by differential equations that include derivatives of non-integer order, effectively modelling memory and hereditary effects.

Using the Lyapunov function method, this paper investigates the stability and the stabilization of linear fractional order systems, and presents a number of new results. First, some new properties of ...

This paper proposes a basis-function canonical piecewise-linear (BF-CPWL) function, which can approximate any continuous function using a weighted sum of PWL BFs. The BF-CPWL approximation integrates ...

All viscoelastic solids have elastic and dissipative properties. Such properties may be well represented, in the linear region, by complex functions. These complex functions are called ‘complex moduli ...

This work aims to prove a Hardy-type inequality and a trace theorem for a class of function spaces on smooth domains with a nonlocal character. Functions in these spaces are allowed to be as rough as ...