Fractional calculus extends the classical notions of differentiation and integration to non-integer orders, offering an adaptable framework that is particularly well suited to modelling anomalous ...

The book “Fractional Calculus: New Applications in Understanding Nonlinear Phenomena” contains ten chapters in three sections. The first section, Chaotic Systems and Control, contains three chapters.

Fractional control systems with the Caputo derivative are considered. The modified controllability Gramian and the minimum energy optimal control problem are investigated. Construction of minimizing ...