UNIFORM CONTINUITY OF FRACTIONAL ORDER INTEGRAL OF FRACTAL INTERPOLATION FUNCTION

DOI10.1142/S0218348X22501250OpenAlexW4280489429MaRDI QIDQ5044622

Xudong Shang, XueZai Pan

Publication date: 2 November 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22501250

zbMATH Keywords

affine mappinguniform continuityfractal geometryfractal interpolation functionfractional order integral

Mathematics Subject Classification ID

Measure and integration (28-XX) Real functions (26-XX)

Cites Work

• Analysis of a new three-dimensional chaotic system
• Fractal surfaces
• Variation and Minkowski dimension of fractal interpolation surface
• Fractal functions and interpolation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional calculus of fractal interpolation function on \([0,b\) (\(b>0\))]
• Stability analysis of semi-Markov switched stochastic systems
• THE PROPERTIES OF FRACTIONAL ORDER CALCULUS OF FRACTAL INTERPOLATION FUNCTION OF BROKEN LINE SEGMENTS
• Adaptive fuzzy output‐feedback tracking control for switched stochastic pure‐feedback nonlinear systems
• THE CANTOR SET’S MULTI-FRACTAL SPECTRUM FORMED BY DIFFERENT PROBABILITY FACTORS IN MATHEMATICAL EXPERIMENT
• Fractional Brownian Motions, Fractional Noises and Applications
• Study of generation of rock fracture surfaces by using fractal interpolation.

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