Vector-valued fractal functions: Fractal dimension and fractional calculus

نویسندگان

چکیده

There are many research available on the study of a real-valued fractal interpolation function and dimension its graph. In this paper, our main focus is to dimensional results for vector-valued Riemann–Liouville fractional integral. Here, we give some which ensure that functions quite different from functions. We determine interesting bounds Hausdorff graph function. also obtain associated invariant measure supported Next, discuss more efficient upper bound in terms probability vector contraction ratios. Furthermore, integral

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ژورنال

عنوان ژورنال: Indagationes Mathematicae

سال: 2023

ISSN: ['0019-3577', '1872-6100']

DOI: https://doi.org/10.1016/j.indag.2023.03.005