FRACTAL STOKES’ THEOREM BASED ON INTEGRALS ON FRACTAL MANIFOLDS

DOI10.1142/S0218348X20500103zbMath1434.28009OpenAlexW2988629332WikidataQ126833923 ScholiaQ126833923MaRDI QIDQ5110541

Junru Wu, Chengyuan Wang

Publication date: 20 May 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x20500103

zbMATH Keywords

Hausdorff measurefractal dimensiondifferential formmeasure spaceFubini's theorem

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (5)

General characteristics of a fractal Sturm–Liouville problem ⋮ Battery discharging model on fractal time sets ⋮ DIRICHLET PROBLEM OF POISSON EQUATIONS AND VARIATIONAL PRINCIPLE ON A TYPE OF FRACTAL SETS ⋮ Electrical circuits involving fractal time ⋮ Equilibrium and non-equilibrium statistical mechanics with generalized fractal derivatives: A review

Cites Work

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• Fractional vector calculus and fractional Maxwell's equations
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• On the Lipschitz condition in the fractal calculus
• Monodromy conjecture and the Hessian differential form
• Generalized Riemann integral on fractal sets
• Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions
• Fractal dimensions of fractional integral of continuous functions
• Elementary Differential Geometry

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