Speaker
Description
In this talk, we explore fractal calculus as a natural and powerful generalization of classical calculus, extending differential and integral operators to functions defined on fractal sets. This generalized framework preserves the core principles of ordinary calculus while adapting them to spaces with non-integer dimensions and irregular geometry. We introduce the foundations of fractal calculus, including fractal derivatives and integrals, and demonstrate how classical concepts—such as the chain rule, product rule, and fundamental theorems—are extended to fractal domains. This talk aims to show how fractal calculus offers new tools for analyzing complex systems where traditional calculus falls short, positioning it as a unifying extension of the classical theory.
| Keywords | Fractal Calculus, Fractal Differential Equations |
|---|
