Fractal Calculus on Fractal Interpolation Functions-Reference-Cited by-同舟云学术

Fractal Calculus on Fractal Interpolation Functions

Published:2021-10-08 Issue:4 Volume:5 Page:157
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Gowrisankar Arulprakash^ORCID,Khalili Golmankhaneh Alireza^ORCID,Serpa Cristina

Abstract

In this paper, fractal calculus, which is called Fα-calculus, is reviewed. Fractal calculus is implemented on fractal interpolation functions and Weierstrass functions, which may be non-differentiable and non-integrable in the sense of ordinary calculus. Graphical representations of fractal calculus of fractal interpolation functions and Weierstrass functions are presented.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/5/4/157/pdf

Reference53 articles.

1. Fractal Geometry: Mathematical Methods, Algorithms, Applications;Blackledge,2002

2. Dimension Theory in Dynamical Systems: Contemporary Views and Applications;Pesin,2008

3. Measure, Topology, and Fractal Geometry;Edgar,2007

4. Fractals in Physics;Pietronero,2012

5. Fractal Functions, Fractal Surfaces, and Wavelets;Massopust,2016

Cited by 27 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Expansion of the universe on fractal time: A study on the dynamics of cosmic growth;International Journal of Modern Physics A;2024-05-20

2. Stochastic processes and mean square calculus on fractal curves;Random Operators and Stochastic Equations;2024-04-24

3. About Sobolev spaces on fractals: fractal gradians and Laplacians;Aequationes mathematicae;2024-04-16

4. An s-first return examination on s-sets;The Journal of Analysis;2024-01-23

5. α-FRACTAL FUNCTION WITH VARIABLE PARAMETERS: AN EXPLICIT REPRESENTATION;Fractals;2024-01-04