Integrals and derivatives on net fractals.

DOI10.1016/S0960-0779(02)00211-4zbMath1036.28010OpenAlexW1970750669MaRDI QIDQ1419215

Xiao-Tian Wang, Wei-Yuan Qiu, Jin-Rong Liang, Fu-Yao Ren

Publication date: 14 January 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00211-4

zbMATH Keywords

derivativesIntegralscalculus on net fractalsnet fractalsnet measures

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Fractals (28A80)

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Cites Work

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• Fractional integrals and fractal structure of memory sets
• Fractional integral associated to cookie-cutter set and its physical interpretation
• Incomplete statistics: Nonextensive generalizations of statistical mechanics
• Fine approximation of flux and fractional integrals on a (infinite) self-similar set or generalized self-similar set
• Fractional integral associated to generalized cookie-cutter set and its physical interpretation
• Determination of diffusion kernel on fractals
• Determination of memory function and flux on fractals

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