This Research Topic highlights recent advances in fractal geometry, fractional calculus, and artificial intelligence (AI) for addressing complex problems in ...
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 ...
Nature: Calculus of Variations, Mathematical Aspects of Systems Theory and Control Theory
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 ...
Fractional Calculus is a very popular subject among mathematicians and applied scientists. The nonlocal operators in fractional calculus provide solutions for challenging research topics and problems ...
Calculus of variations establishes a framework to determine the extrema of functionals—mappings from functions to real numbers—which has been pivotal in elucidating natural principles such as the ...
Fractional-order systems employ derivatives and integrals of non-integer order to model complex dynamic behaviours that conventional integer-order frameworks often cannot capture. This approach, ...
Study calculus online free by downloading volume 1 of OpenStax's college Calculus textbook and using our accompanying online resources.
Calculus is the mathematics that describes changes in functions. In this chapter, we review all the functions necessary to study calculus. We define polynomial, rational, trigonometric, exponential, and logarithmic functions. We review how to evaluate these functions, and we show the properties of their graphs. We provide examples of equations with terms involving these functions and ...
Calculus Volume 1 Introduction Contents Highlights Print Figure 5.1Iceboating is a popular winter sport in parts of the northern United States and Europe. (credit: modification of work by Carter Brown, Flickr)