Fractal Calculus and its Applications Fα-Calculus

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:PrefaceIntroduction to Analysis of FractalsBasic ToolsFractal Cantor Like SetsFractal CalculusLocal Fractal Differential EquationsStability of Fractal Differential EquationsGeneralization of Fractal CalculusApplications of Fractal CalculusAppendixBibliographyIndex
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