2013
DOI: 10.1016/j.physleta.2013.04.040
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Physics in space–time with scale-dependent metrics

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Cited by 17 publications
(7 citation statements)
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“…[1-7, [15][16][17][18][19][20][21]). Alternative models lead to very different solutions of the same problems for physical fractal media.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…[1-7, [15][16][17][18][19][20][21]). Alternative models lead to very different solutions of the same problems for physical fractal media.…”
Section: Discussionmentioning
confidence: 99%
“…Such an approximation permits one to study physical phenomena in fractal media within a continuum framework (for reviews, see Refs. [1][2][3][4][5][6][7][11][12][13][14][15][16][17][18][19][20][21][22][23][24]). …”
Section: Fractal Continuum Approximation Of Fractal Mediummentioning
confidence: 99%
“…We note that an alternative way to interpret the form of the fractal derivative (5) could be possibly from a fractal metric [3]. Very recently Balankin [11] formally proposed a fractal metric in terms of the fractional integral (9) to define the fractal derivative (5). However, we want to clarify two issues:…”
Section: M(w)mentioning
confidence: 99%
“…The bicomplex BC is a generalization of complex which has close relations with Fractal geometry, Minkowski Space-Time, Maxwell's equations, Schrödinger equation, and Gaussian pulse wave. [1][2][3][4][5][6][7] The theory of bicomplex numbers is a matter of active research in recent times, and there are many further discussions in this direction. Banerjee studied bicomplex Fourier transform, 8 bicomplex Laplace transform, 9 bicomplex indefinite inner product modules, 10 and bicomplex Harmonic and Isotonic Oscillators.…”
Section: Introductionmentioning
confidence: 99%