CALCULUS ON FRACTAL SUBSETS OF REAL LINE — I: FORMULATION
نویسندگان
چکیده
منابع مشابه
ar X iv : m at h - ph / 0 31 00 47 v 1 2 3 O ct 2 00 3 Calculus on fractal subsets of real line – I : formulation
A new calculus based on fractal subsets of the real line is formulated. In this calculus, an integral of order α, 0 < α ≤ 1, called F α-integral, is defined, which is suitable to integrate functions with fractal support F of dimension α. Further, a derivative of order α, 0 < α ≤ 1, called F α-derivative, is defined, which enables us to differentiate functions, like the Cantor staircase, " chang...
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ژورنال
عنوان ژورنال: Fractals
سال: 2009
ISSN: 0218-348X,1793-6543
DOI: 10.1142/s0218348x09004181