The Minkowski's space-time is consistent with differential geometry of fractional order
From MaRDI portal
Publication:601442
DOI10.1016/j.physleta.2006.10.085zbMath1197.83011OpenAlexW2014502985WikidataQ56687911 ScholiaQ56687911MaRDI QIDQ601442
Publication date: 28 October 2010
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2006.10.085
fractalsfractal Lorentz transformationfractional Taylor's seriesMinkowski's space-timenoisy coordinatesstrip modeling
Related Items
Dynamical analysis of a new fractional-order predator-prey system with Holling type-III functional ⋮ Comments on ``The Minkowski's space-time is consistent with differential geometry of fractional order ⋮ The stability of the positive solution for a fractional SIR model ⋮ Generalizations of Hölder's and some related integral inequalities on fractal space ⋮ Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator ⋮ On the invalidity of Fourier series expansions of fractional order ⋮ On chain rule for fractional derivatives ⋮ Fractional calculus for nanoscale flow and heat transfer ⋮ The stability of solutions for a fractional predator-prey system ⋮ A local fractional integral inequality on fractal space analogous to Anderson's inequality ⋮ A tutorial review on fractal spacetime and fractional calculus ⋮ Scale relativity and fractal space-time: theory and applications ⋮ Physics in space-time with scale-dependent metrics
Cites Work
- Unnamed Item
- Unnamed Item
- The adjoint Markoff process
- Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems.
- Reversible dynamics in discrete dissipative systems
- From classical mechanics to unitary propagation without quantization.
- Complex vacuum fluctuation as a chaotic ``limit set of any Kleinian group transformation and the mass spectrum of high energy particle physics via spontaneous self-organization.
- A realistic setting for Feynman paths.
- Scale-relativistic cosmology.
- A review of \(E\) infinity theory and the mass spectrum of high energy particle physics
- The scale-relativity program
- Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
- On the representation of fractional Brownian motion as an integral with respect to \((dt)^a\)
- On the solution of the stochastic differential equation of exponential growth driven by fractional Brownian motion
- Local Fractional Fokker-Planck Equation
- Taylor’s Series Generalized for Fractional Derivatives and Applications
This page was built for publication: The Minkowski's space-time is consistent with differential geometry of fractional order
