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 ...

video: Compared with classical (or integer-order) calculus, which forms the mathematical basis of most control systems, fractional calculus is better equipped to handle the time-dependent effects ...

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.

In recent years, various operators of fractional calculus (that is, calculus of integrals and derivatives of arbitrary real or complex orders) have been investigated and applied in many remarkably ...

This is a preview. Log in through your library . Abstract In the present paper, by making use of certain operators of generalized fractional calculus, we introduce a ...