ON BOX DIMENSION OF HADAMARD FRACTIONAL INTEGRAL (PARTLY ANSWER FRACTAL CALCULUS CONJECTURE)

DOI10.1142/S0218348X22500943OpenAlexW4229022421WikidataQ113776992 ScholiaQ113776992MaRDI QIDQ5086275

No author found.

Publication date: 5 July 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22500943

zbMATH Keywords

fractal dimensionHadamard fractional integralfractal calculusupper box dimensionfractal continuous function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Hausdorff and packing measures (28A78)

Related Items (3)

Fractal dimensions of mixed Katugampola fractional integral associated with vector valued functions ⋮ ON THE FRACTIONAL DERIVATIVE OF A TYPE OF SELF-AFFINE CURVES ⋮ ON THE BOX DIMENSION OF WEYL–MARCHAUD FRACTIONAL DERIVATIVE AND LINEARITY EFFECT

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A physically based connection between fractional calculus and fractal geometry
• 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
• Accurate relationships between fractals and fractional integrals: new approaches and evaluations
• 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
• RELATIONSHIP OF UPPER BOX DIMENSION BETWEEN CONTINUOUS FRACTAL FUNCTIONS AND THEIR RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL
• 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: ON BOX DIMENSION OF HADAMARD FRACTIONAL INTEGRAL (PARTLY ANSWER FRACTAL CALCULUS CONJECTURE)