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arXiv · 2302.07641

Fuzzification of Fractal Calculus

Alireza Khalili Golmankhaneh·Kerri Welch·Cristina Serpa·Palle E. T. Jørgensen
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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.

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Alireza Khalili Golmankhaneh, Kerri Welch, Cristina Serpa, Palle E. T. Jørgensen. 2023-02-13. Fuzzification of Fractal Calculus. https://arxiv.org/abs/2302.07641

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