Clinical Applications of Fractals and Fractional Order Systems

A fractal as a subset of Euclidean space is an irregular geometric object with a dimension strictly higher than its topological dimension which was introduced for the first time by Mandelbrot in 1983. Fractals are geometrical models and physical quantities which are distributed evenly in the embedding space and are not only made by some mathematical calculations, but they can be found in many places and phenomena happen each day in nature. The main characteristic of fractals which makes them unique is self-similarity in different scales, means that when we zoom in on a fractal set, we can recognize similar geometrical patterns which repeat infinite times to build a fractal.