A scaling method and its applications to problems in fractional dimensional space

DOI10.1063/1.3263940zbMath1372.28008OpenAlexW1994319276MaRDI QIDQ3583747

Sami I. Muslih, Om Prakash Agrawal

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://opensiuc.lib.siu.edu/meep_articles/14

zbMATH Keywords

volumeBochner theoremsurface areascaling methodfractional dimensional spaceclosed form expression for fractional Gaussian integralfractional integral of the Mittag-Leffler functiongeneralized hyperspheresolid angle at a point

Mathematics Subject Classification ID

Integration of real functions of several variables: length, area, volume (26B15) Fractals (28A80) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Hausdorff and packing measures (28A78)

Related Items (10)

Towards a physics on fractals: differential vector calculus in three-dimensional continuum with fractal metric ⋮ Anisotropic fractal media by vector calculus in non-integer dimensional space ⋮ Exact discretization of fractional Laplacian ⋮ Solutions of a particle with fractional \(\delta \)-potential in a fractional dimensional space ⋮ Steady laminar flow of fractal fluids ⋮ On electromagnetic wave propagation in fractional space ⋮ Fractional Green's function for the time-dependent scattering problem in the space-time-fractional quantum mechanics ⋮ Solution of the equations of motion for Einstein's field in fractional \(D\) dimensional space-time ⋮ Use of Kobayashi potential method and Lorentz-Drude model to study scattering from a PEC strip buried below a lossy dispersive NID dielectric-magnetic slab ⋮ About Schrödinger equation on fractals curves imbedding in \(\mathbb R^{3}\)

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