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.

This is a preview. Log in through your library . Abstract This paper is devoted to the study of discrete fractional calculus; the particular goal is to define and solve well-defined discrete ...

We first define the q-analogue operators of fractional calculus which are then used in defining certain classes of functions analytic in the open disk. The results investigated for these classes of ...