Analytical properties, fractal dimensions and related inequalities of \((k, h)\)-Riemann-Liouville fractional integrals

DOI10.1016/J.CAM.2024.115999MaRDI QIDQ6581964

C. Y. Luo, Qingjin Cheng

Publication date: 1 August 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

box dimensionfractal dimensionHölder inequalityMinkowski inequalityHermite-Hadamard-type inequality\((k,h)\)-Riemann-Liouville fractional integral operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractals (28A80) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Hausdorff and packing measures (28A78)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Generalized conformable fractional operators
• Generalized Hadamard fractional integral inequalities for strongly \((s,m)\)-convex functions
• Katugampola fractional integral and fractal dimension of bivariate functions
• Analytical properties of \((k,s)\)-Riemann-Liouville fractional integral and its fractal dimension
• On a new class of convex functions and integral inequalities
• On Grüss inequalities within generalized \(\mathcal{K}\)-fractional integrals
• Analysis of fractal dimension of mixed Riemann-Liouville integral
• On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals
• Ostrowski type inequalities in the sense of generalized \(\mathcal{K}\)-fractional integral operator for exponentially convex functions
• Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann-Liouville fractional integrals, and Atangana-Baleanu integral operators
• Fractal dimensions of fractional integral of continuous functions
• On a linearity between fractal dimension and order of fractional calculus in Hölder space
• \((k, s)\)-Riemann-Liouville fractional integral and applications
• \(k\)-fractional integrals and application
• RELATIONSHIP OF UPPER BOX DIMENSION BETWEEN CONTINUOUS FRACTAL FUNCTIONS AND THEIR RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL
• ESTIMATION OF FRACTAL DIMENSION OF FRACTIONAL CALCULUS OF THE HÖLDER CONTINUOUS FUNCTIONS
• PROGRESS ON ESTIMATION OF FRACTAL DIMENSIONS OF FRACTIONAL CALCULUS OF CONTINUOUS FUNCTIONS
• Some \(k\)-fractional integral inequalities for \(p\)-convex functions

This page was built for publication: Analytical properties, fractal dimensions and related inequalities of \((k, h)\)-Riemann-Liouville fractional integrals

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6581964)