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math.GM2023
The Mellin Transform and Non-local Derivatives of Fractal Calculus
Alireza Khalili Golmankhaneh, Kerri Welch, Cristina Serpa +1
In this paper, the fractal calculus of fractal sets and fractal curves are compared. The analogues of the Riemann-Liouville and the Caputo integrals and derivatives are defined for…
math.GM2023★ 1 cited
Fuzzification of Fractal Calculus
Alireza Khalili Golmankhaneh, Kerri Welch, Cristina Serpa +1
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…