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math-phMay 7, 2007
10
citations (OpenAlex)
authors
  • Vasily E. Tarasov
  • George M. Zaslavsky
institutions
  • Courant Institute of Mathematical Sciences
  • Lomonosov Moscow State University
  • New York University
  • Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University
arXiv abstractPDF
paper

Fractional Generalization of Kac Integral

arXiv:0704.1771 · doi:10.1016/j.cnsns.2007.04.020

Abstract

Generalization of the Kac integral and Kac method for paths measure based on the Levy distribution has been used to derive fractional diffusion equation. Application to nonlinear fractional Ginzburg-Landau equation is discussed.

16 pages, LaTeX

References in corpus (4)

  • Fractional Quantum Mechanics
  • Fractional Ginzburg-Landau equation for fractal media
  • Fractional generalization of the Ginzburg-Landau equation: An unconventional approach to critical phenomena in complex media
  • Path integral formulation and Feynman rules for phylogenetic branching models

Cited by in corpus (4)

  • The instanton method and its numerical implementation in fluid mechanics
  • Fractional Schrödinger equation in gravitational optics
  • Levy flights in a box
  • Fractional Generalization of Quantum Markovian Master Equation
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