메뉴 건너뛰기




Volumn 59, Issue 3, 1999, Pages 2603-2613

Fractional calculus as a macroscopic manifestation of randomness

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BROWNIAN MOVEMENT; CHAOS THEORY; DEGREES OF FREEDOM (MECHANICS); DIFFERENTIATION (CALCULUS); DIFFUSION; INTEGRODIFFERENTIAL EQUATIONS; NONLINEAR EQUATIONS; PHASE TRANSITIONS; QUANTUM THEORY; RELAXATION PROCESSES; THERMODYNAMICS;

EID: 0033089733     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.2603     Document Type: Article
Times cited : (81)

References (42)
  • 3
    • 85037214601 scopus 로고    scopus 로고
    • our opinion the meaning of the Van Hove method has been made transparent by the discussion of Zwanzig in Ref. 2. For this reason, we refer ourselves to the work of Zwanzig more than to the original paper by Van Hove (Ref. 1
    • In our opinion the meaning of the Van Hove method has been made transparent by the discussion of Zwanzig in Ref. 2. For this reason, we refer ourselves to the work of Zwanzig more than to the original paper by Van Hove (Ref. 1).
  • 23
    • 85037193483 scopus 로고    scopus 로고
    • P. Grigolini, in Noise in Nonlinear Dynamical Systems, edited by F. Moss and P. V. E. McClintock (Cambridge University Press, Cambridge, 1989), Chap. 5, p. 161
    • P. Grigolini, in Noise in Nonlinear Dynamical Systems, edited by F. Moss and P. V. E. McClintock (Cambridge University Press, Cambridge, 1989), Chap. 5, p. 161.
  • 30
    • 85037179129 scopus 로고    scopus 로고
    • It is important to stress that the fractional time derivative adopted in Ref. 28 aims at a purpose different from that of this section. Conversely, the fractional time derivative adopted in Ref. 27, equivalent to setting (Formula presented) in the denominator of (Formula presented) in Eq. (43), conflicts with the generalized Van Hove method and consequently with the numerical and theoretical conclusions of both Refs. 29 and 7
    • It is important to stress that the fractional time derivative adopted in Ref. 28 aims at a purpose different from that of this section. Conversely, the fractional time derivative adopted in Ref. 27, equivalent to setting (Formula presented) in the denominator of (Formula presented) in Eq. (43), conflicts with the generalized Van Hove method and consequently with the numerical and theoretical conclusions of both Refs. 29 and 7.
  • 42
    • 85037237113 scopus 로고    scopus 로고
    • P. Závada, e-print funct-an/9608002
    • P. Závada, e-print funct-an/9608002.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.