Fractal Calculus And Its Applications F Calculus
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Fractal Calculus and Its Applications
"The first book to introduce the theory and applications of fractal calculus and provide a basis for research and development of this framework"--
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.
Basic Theory
Author: Anatoly Kochubei
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2019-02-19
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.