Fractal Calculus and Its Applications: Fα-Calculus

Fractal calculus is the simple, constructive, and algorithmic approach to natural processes modeling using fractals that was impossible for smooth differentiable structure and usual modeling tools. It is the calculus of the future and will have many applications.This book is the first to introduce fractal calculus and provide a basis for research and development of this framework. It is suitable for undergraduate and graduate students in mathematics and physics who has mastered general mathematics, quantum physics, and statistical mechanics; as well as the researchers dealing with fractal structures in various disciplines.