Golmankhaneh A Fractal Calculus and Its Applications Fα-calculus 2023

Golmankhaneh A Fractal Calculus and Its Applications Fα-calculus 2023 | 6.48 MB
English | 328 Pages

Title: Fractal Calculus and its Applications: Fα-Calculus
Author: Alireza Khalili Golmankhaneh
Year: 2022

Description:
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

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