Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions

DOI10.1007/S13540-022-00050-2zbMath1503.26005arXiv2105.01885OpenAlexW3158426351WikidataQ114017002 ScholiaQ114017002MaRDI QIDQ2110510

Syed Abbas, S. Ajay Chandra

Publication date: 21 December 2022

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.01885

zbMATH Keywords

bounded variationbox dimensionmixed Hadamard fractional integralmixed Katugampola fractional integraltwo-dimensional continuous functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractals (28A80) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (10)

Non-stationary \(\phi\)-contractions and associated fractals ⋮ On the variable order fractional calculus of fractal interpolation functions ⋮ Analytical and dimensional properties of fractal interpolation functions on the Sierpiński gasket ⋮ Fractal dimensions of mixed Katugampola fractional integral associated with vector valued functions ⋮ Dimensions of new fractal functions and associated measures ⋮ ON THE BOX DIMENSION OF WEYL–MARCHAUD FRACTIONAL DERIVATIVE AND LINEARITY EFFECT ⋮ Dimensional analysis of mixed Riemann-Liouville fractional integral of vector-valued functions ⋮ On dimension of fractal functions on product of the Sierpiński gaskets and associated measures ⋮ On fractal dimension of the graph of nonstationary fractal interpolation function ⋮ Approximation with continuous functions preserving fractal dimensions of the Riemann-Liouville operators of fractional calculus

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