Introduction to Fractional Calculus

Fractional calculus develops the theory of differentiation and integration of any real or complex order. It extends the basic operations of classical calculus to fractional orders and studies the methods of solving differential equations involving these fractional-order derivatives and integrals. Nowadays fractional calculus is gaining more and more interest as it is able to generalize the well-known integrodifferential equations to ones containing fractional order derivatives or integrals of the target function—these more general equations are able to precisely describe different real-world phenomena. This talk will give a brief introduction to fractional calculus, an overview of the FractionalD and CaputoD functions standing for the two main definitions of fractional order derivatives, their numerical analogues NFractionalD/NCaputoD functions, learning resources for this subject and some real-world applications of this theory.

[cienciayeducacionparatodos]

A similar video with the Abelian groups that can be generated with some fractional operators would be interesting (DOI: 10.1016/j.amc.2022.127231)

[robertdozva]

This video hasnt helped. Why dont you for a start help us on how to first install the package in mathematica 12 ? or any earlier version? These things are not working in my mathematica