Analysis of fractal dimension of mixed Riemann-Liouville integral

In this article, we provide a rigorous study on the fractal dimension of the graph of the mixed Riemann-Liouville fractional integral for various choices of continuous functions on a rectangular region. We estimate bounds for the box dimension and the Hausdorff dimension of the graph of the mixed Ri...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 91; no. 3; pp. 1021 - 1046
Main Authors:	Chandra, Subhash, Abbas, Syed
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.11.2022 Springer Nature B.V
Subjects:	Algebra Algorithms Calculus Computer Science Continuity (mathematics) Fractal analysis Fractal geometry Fractals Fractional calculus Integrals Numeric Computing Numerical Analysis Original Paper Theory of Computation 26A30 Hausdorff dimension Riemann-Liouville fractional integral Bounded variation 26A33 28A78 28A80 Box dimension Hölder condition
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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