THE HADAMARD FRACTIONAL CALCULUS OF A FRACTAL FUNCTION
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DOI: 10.1142/s0218348x18500251
Abstract: This paper investigates the Hadamard fractional calculus of a fractal function. It is proved that there exists some linear relationship between the order of Hadamard fractional calculus and the fra... read more here.
Keywords: hadamard fractional; calculus fractal; fractional calculus; fractal function ... See more keywords
A REVISIT TO α-FRACTAL FUNCTION AND BOX DIMENSION OF ITS GRAPH
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DOI: 10.1142/s0218348x19500907
Abstract: One of the tools offered by fractal geometry is fractal interpolation, which forms a basis for the constructive approximation theory for nondifferentiable functions. The notion of fractal interpolation function can be used to obtain a… read more here.
Keywords: fractal function; formula see; text fractal; see text ... See more keywords