Fuzzification of Fractal Calculus
General Mathematics
2023-02-16 v1
Abstract
In this manuscript, fractal and fuzzy calculus are summarized. Fuzzy calculus in terms of fractal limit, continuity, its derivative, and integral are formulated. The fractal fuzzy calculus is a new framework that includes fractal fuzzy derivatives and fractal fuzzy integral. In this framework, fuzzy number-valued functions with fractal support are the solutions of fractal fuzzy differential equations. Different kinds of fractal fuzzy differential equations are given and solved.
Cite
@article{arxiv.2302.07641,
title = {Fuzzification of Fractal Calculus},
author = {Alireza Khalili Golmankhaneh and Kerri Welch and Cristina Serpa and Palle E. T. Jørgensen},
journal= {arXiv preprint arXiv:2302.07641},
year = {2023}
}