R-L ALGORITHM: AN APPROXIMATION ALGORITHM FOR FRACTAL SIGNALS BASED ON FRACTIONAL CALCULUS

DOI10.1142/S0218348X21502431OpenAlexW3195054123MaRDI QIDQ5082102

Chengyuan Wang, Huobin Tan, Jiakui Hu, Dulan Zhou

Publication date: 15 June 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21502431

zbMATH Keywords

box dimensionRiemann-Liouville fractional calculusHölder conditionfractal signal

Mathematics Subject Classification ID

Functions of one variable (26Axx) Numerical analysis (65-XX) Classical measure theory (28Axx) Zeta and (L)-functions: analytic theory (11Mxx)

Related Items (1)

A geometric based connection between fractional calculus and fractal functions

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
• On fractional Schrödinger equation in \(\alpha \)-dimensional fractional space
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• On the Lipschitz condition in the fractal calculus
• Fractional calculus, zeta functions and Shannon entropy
• Complexity evolution of chaotic financial systems based on fractional calculus
• Fractal rational functions and their approximation properties
• Riemann zeta fractional derivative-functional equation and link with primes
• On a linearity between fractal dimension and order of fractional calculus in Hölder space
• On the Weierstrass-Mandelbrot fractal function
• UPPER BOX DIMENSION OF RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL OF FRACTAL FUNCTIONS
• THE EFFECTS OF THE RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL ON THE BOX DIMENSION OF FRACTAL GRAPHS OF HÖLDER CONTINUOUS FUNCTIONS
• Fractional derivatives of Weierstrass-type functions

This page was built for publication: R-L ALGORITHM: AN APPROXIMATION ALGORITHM FOR FRACTAL SIGNALS BASED ON FRACTIONAL CALCULUS