Fractal Calculus And Its Applications: Fα-calculus
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A01=Alireza Khalili Golmankhaneh
Abstract Sobolev Spaces
Author_Alireza Khalili Golmankhaneh
Cantor Cubes
Cantor Tartan
Category=PBKA
Coarse-Grained Mass
Darboux Integral
Devil's Staircase Function
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fat Cantor Sets
Fractal Curves
Fractal Derivative
Fractal Fokker-Plank
Fractal Hyers-Ulam Stability
Fractal Laplace Transform
Fractal Logistic Equation
Fractal Lyapunov Stabile
Fractal Sumudu Transform
Fractal Time
Fractally Distributed Medium
Hausdorff Dimension
Henstock-kurzweil Integral
Integral Staircase Function
Langevin Equation
Lebesgue Measure
Levy Distributions
Local Fractal Calculus
Local Fractal Differential Equations
Local Fractal Fourier Transforms
Non-Gaussian Distributions
Non-Local Fractal Calculus
Non-Local Fractal Differential Equations
Non-Markovian
Refinement
Riemann-Stieltjes Integral
Smith-Volterra-Cantor Sets
Subdivision
Thin Cantor Sets
Weierstrass Function
Product details
- ISBN 9789811261107
- Publication Date: 06 Oct 2022
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
