• Corpus ID: 233481076

On fractional semidiscrete Dirac operators of L\'evy-Leblond type

  title={On fractional semidiscrete Dirac operators of L\'evy-Leblond type},
  author={N. Faustino},
In this paper we introduce a wide class of space-fractional and time-fractional semidiscrete Dirac operators of L´evy-Leblond type on the semidiscrete space-time lattice h Z n × [0 , ∞ ) ( h > 0), resembling to fractional semidiscrete counterparts of the so-called parabolic Dirac operators. The methods adopted here are fairly operational, relying mostly on the algebraic manipulations involving Clif-ford algebras, discrete Fourier analysis techniques as well as standard properties of the… 

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