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Volumn 62, Issue 2, 2000, Pages 2213-2218

Anomalous diffusion associated with nonlinear fractional derivative Fokker-Planck-like equation: Exact time-dependent solutions

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; INTEGRATION; LAPLACE TRANSFORMS; LINEAR EQUATIONS; NONLINEAR EQUATIONS; OPTIMIZATION; POISSON DISTRIBUTION; PROBABILITY DENSITY FUNCTION;

EID: 0034238730     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.2213     Document Type: Article
Times cited : (143)

References (35)
  • 1
    • 85036259956 scopus 로고    scopus 로고
    • K.S. Miller and B. Ross, An introduction to the Fractional Differential Equations (Wiley, New York, 1993)
    • K.S. Miller and B. Ross, An introduction to the Fractional Differential Equations (Wiley, New York, 1993).
  • 14
    • 0009345070 scopus 로고    scopus 로고
    • C. Tsallis, A.M.C. de Souza, and R. Maynard, in Lévy flights and related topics in Physics, edited by M.F. Shlesinger, G.M. Zaslavsky, and U. Frisch (Springer, Berlin, 1995), p. 269
    • Phys. Rev. Lett.C. TsallisS.V.F LevyA.M.C. de SouzaR. Maynard77, 5442(E) (1996);C. Tsallis, A.M.C. de Souza, and R. Maynard, in Lévy flights and related topics in Physics, edited by M.F. Shlesinger, G.M. Zaslavsky, and U. Frisch (Springer, Berlin, 1995), p. 269
    • Phys. Rev. Lett. , vol.77 , pp. 5442
    • Tsallis, C.1    Levy, S.V.F.2    de Souza, A.M.C.3    Maynard, R.4
  • 27
    • 85036348335 scopus 로고    scopus 로고
    • M. Caputo, Elasticità e dissipazione (Zanichelli, Bologna, 1969)
    • M. Caputo, Elasticità e dissipazione (Zanichelli, Bologna, 1969)
  • 29
    • 85036417554 scopus 로고    scopus 로고
    • M. Bologna, Derivative of Real Index (Edizioni Tecnico Scientifiche, Pisa, 1990) (in Italian)
    • M. Bologna, Derivative of Real Index (Edizioni Tecnico Scientifiche, Pisa, 1990) (in Italian).
  • 32
    • 0033242934 scopus 로고    scopus 로고
    • (accessible at http://sbf.if.usp.br/WWW_pages/Journals/BJP/Vol29/Num1/index.htm)
    • C. Tsallis, Braz. J. Phys. 29, 1 (1999); (accessible at http://sbf.if.usp.br/WWW_pages/Journals/BJP/Vol29/Num1/index.htm).
    • (1999) Braz. J. Phys. , vol.29 , pp. 1
    • Tsallis, C.1
  • 33
    • 85036316998 scopus 로고    scopus 로고
    • The distributions obtained through optimization of the nonextensive entropy (Formula presented) the present ones and Lévy distributions do not generically coincide. However, they all exhibit a power-law at long distances, hence identification of their respective asymptotic behaviors becomes possible
    • The distributions obtained through optimization of the nonextensive entropy (Formula presented) the present ones and Lévy distributions do not generically coincide. However, they all exhibit a power-law at long distances, hence identification of their respective asymptotic behaviors becomes possible.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.