Fractal Calculus And Its Applications
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Fractal Calculus And Its Applications: Fα-calculus
Author: Alireza Khalili Golmankhaneh
language: en
Publisher: World Scientific
Release Date: 2022-08-29
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.
Fractal Calculus and Its Applications: Fα-Calculus
Author: Alireza Khalili Golmankhaneh
language: en
Publisher: World Scientific Publishing Company
Release Date: 2022-09-05
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.
Fractal Control and Its Applications
The book focuses on fractal control and applications in various fields. Fractal phenomena occur in nonlinear models, and since the behaviors depicted by fractals need to be controlled in practical applications, an understanding of fractal control is necessary. This book introduces readers to Julia set fractals and Mandelbrot set fractals in a range of models, such as physical systems, biological systems and SIRS models, and discusses controllers designed to control these fractals. Further, it demonstrates how the fractal dimension can be calculated in order to describe the complexity of various systems.Offering a comprehensive and systematic overview of the practical issues in fractal control, this book is a valuable resource for readers interested in practical solutions in fractal control. It will also appeal to researchers, engineers, and graduate students in fields of fractal control and applications, as well as chaos control and applications.