Fractal calculus is the simple, constructive, and algorithmic approach to natural processes modeling, which is impossible using smooth differentiable structures and the usual modeling tools such as differential equations. It is the calculus of the future and will have many applications.

This book is the first to introduce fractal calculus and provides a basis for the research and development of this framework. It is suitable for undergraduate and graduate students in mathematics and physics who have mastered general mathematics, quantum physics, and statistical mechanics, as well as researchers dealing with fractal structures in various disciplines.

Contents:

• Preface


• Introduction to Analysis of Fractals


• Basic Tools


• Fractal Cantor Like Sets


• Fractal Calculus


• Local Fractal Differential Equations


• Stability of Fractal Differential Equations


• Generalization of Fractal Calculus


• Applications of Fractal Calculus


• Appendix


• Bibliography


• Index

Readership: Undergraduate and graduate students in mathematics and physics who has mastered general mathematics, quantum physics, and statistical mechanics; researchers dealing with fractal structures in various disciplines

Key Features:

• Modeling processes in nature using fractals has gained importance in the last decades


• 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


• This book is the first to introduce fractal calculus and provide a basis for research and development of this framework