Fuzzification of Fractal Calculus

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...

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Bibliographic Details
Published inarXiv.org
Main Authors Alireza Khalili Golmankhaneh, Welch, Kerri, Serpa, Cristina, Jørgensen, Palle E T
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 13.02.2023
Subjects
Calculus
Continuity (mathematics)
Derivatives
Differential equations
Fractals
Fuzzy systems
Integrals
Mathematical analysis
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Summary: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.
ISSN:2331-8422