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- W3104925054 abstract "Non-Newtonian calculus that starts with elementary non-Diophantine arithmetic operations of a Burgin type is applicable to all fractals whose cardinality is continuum. The resulting definitions of derivatives and integrals are simpler from what one finds in the more traditional literature of the subject, and they often work in the cases where the standard methods fail. As an illustration, we perform a Fourier transform of a real-valued function with Sierpi'nski-set domain. The resulting formalism is as simple as the usual undergraduate calculus." @default.
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- W3104925054 date "2018-06-01" @default.
- W3104925054 modified "2023-09-23" @default.
- W3104925054 title "Simple Fractal Calculus from Fractal Arithmetic" @default.
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- W3104925054 doi "https://doi.org/10.1016/s0034-4877(18)30053-3" @default.
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