RELATIONSHIP OF UPPER BOX DIMENSION BETWEEN CONTINUOUS FRACTAL FUNCTIONS AND THEIR RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL
From MaRDI portal
Publication:5082128
DOI10.1142/S0218348X21502649zbMath1505.28013OpenAlexW3200786253WikidataQ114072778 ScholiaQ114072778MaRDI QIDQ5082128
No author found.
Publication date: 15 June 2022
Published in: Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218348x21502649
fractal dimensionRiemann-Liouville fractional integralupper box dimensioncontinuous fractal function
Fractional derivatives and integrals (26A33) Fractals (28A80) Hausdorff and packing measures (28A78)
Related Items (3)
CARDINALITY AND FRACTAL LINEAR SUBSPACE ABOUT FRACTAL FUNCTIONS ⋮ ON BOX DIMENSION OF HADAMARD FRACTIONAL INTEGRAL (PARTLY ANSWER FRACTAL CALCULUS CONJECTURE) ⋮ ON THE FRACTIONAL DERIVATIVE OF A TYPE OF SELF-AFFINE CURVES
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The relationship between the box dimension of the Besicovitch functions and the orders of their fractional calculus
- Box dimensions of Riemann-Liouville fractional integrals of continuous functions of bounded variation
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional calculus and its applications. Proceedings of the international conference held at the University of New Haven, June 1974
- On the connection between the order of fractional calculus and the dimensions of a fractal function
- Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions
- Some remarks on one-dimensional functions and their Riemann-Liouville fractional calculus
- On a class of fractal functions with graph Hausdorff dimension 2
- What is the exact condition for fractional integrals and derivatives of Besicovitch functions to have exact box dimension?
- On the dimension of graphs of Weierstrass-type functions with rapidly growing frequencies
- Fractal Dimensions and Singularities of the Weierstrass Type Functions
- THE RELATIONSHIP BETWEEN FRACTIONAL CALCULUS AND FRACTALS
- FRACTAL DIMENSION OF RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL OF CERTAIN UNBOUNDED VARIATIONAL CONTINUOUS FUNCTION
- Fractional integrals of the Weierstrass functions: The exact box dimension
- THE CLASSIFICATION OF ONE-DIMENSIONAL CONTINUOUS FUNCTIONS AND THEIR FRACTIONAL INTEGRAL
- WHAT IS THE EFFECT OF THE WEYL FRACTIONAL INTEGRAL ON THE HÖLDER CONTINUOUS FUNCTIONS?
- Riemann-Liouville fractional calculus of 1-dimensional continuous functions
- PROGRESS ON ESTIMATION OF FRACTAL DIMENSIONS OF FRACTIONAL CALCULUS OF CONTINUOUS FUNCTIONS
- THE EFFECTS OF THE RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL ON THE BOX DIMENSION OF FRACTAL GRAPHS OF HÖLDER CONTINUOUS FUNCTIONS
- CONSTRUCTION AND ANALYSIS OF A SPECIAL ONE-DIMENSIONAL CONTINUOUS FUNCTION
- Fractional derivatives of Weierstrass-type functions
This page was built for publication: RELATIONSHIP OF UPPER BOX DIMENSION BETWEEN CONTINUOUS FRACTAL FUNCTIONS AND THEIR RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL