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Volumn 355, Issue 1, 2005, Pages 190-198

Long-range correlations in time series generated by time-fractional diffusion: A numerical study

Author keywords

Correlations; Fractional diffusion; Random walks; Time series

Indexed keywords

DIFFUSION; MARKOV PROCESSES; MATHEMATICAL MODELS; MATRIX ALGEBRA; POISSON EQUATION; PROBABILITY; PROBABILITY DENSITY FUNCTION; TIME SERIES ANALYSIS;

EID: 21444454941     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.02.083     Document Type: Conference Paper
Times cited : (2)

References (11)
  • 1
    • 0034502929 scopus 로고    scopus 로고
    • Fractional calculus and continuous-time finance II: The waiting-time distribution
    • F. Mainardi, M. Raberto, R. Gorenflo, and E. Scalas Fractional calculus and continuous-time finance II: the waiting-time distribution Physica A 287 2000 368 481
    • (2000) Physica A , vol.287 , pp. 368-481
    • Mainardi, F.1    Raberto, M.2    Gorenflo, R.3    Scalas, E.4
  • 2
    • 0034275979 scopus 로고    scopus 로고
    • Fractional calculus and continuous-time finance
    • E. Scalas, R. Gorenflo, and F. Mainardi Fractional calculus and continuous-time finance Physica A 284 2000 376 384
    • (2000) Physica A , vol.284 , pp. 376-384
    • Scalas, E.1    Gorenflo, R.2    Mainardi, F.3
  • 3
    • 0002898176 scopus 로고    scopus 로고
    • Fractional calculus and continuous-time finance III: The diffusion limit
    • M. Kohlmann, S. Tang (Eds.) Birkhäuser, Basel
    • R. Gorenflo, F. Mainardi, E. Scalas, M. Raberto, Fractional calculus and continuous-time finance III: the diffusion limit, in: M. Kohlmann, S. Tang (Eds.), Trends in Mathematics - Mathematical Finance, Birkhäuser, Basel, 2001, pp. 171-180 (reprinted in http://www.fracalmo.org ).
    • (2001) Trends in Mathematics - Mathematical Finance , pp. 171-180
    • Gorenflo, R.1    Mainardi, F.2    Scalas, E.3    Raberto, M.4
  • 4
    • 1842531858 scopus 로고    scopus 로고
    • Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation
    • E. Scalas, R. Gorenflo, and F. Mainardi Uncoupled continuous-time random walks: solution and limiting behavior of the master equation Phys. Rev. E 69 2004 011107/1-8
    • (2004) Phys. Rev. E , vol.69
    • Scalas, E.1    Gorenflo, R.2    Mainardi, F.3
  • 6
    • 0002847893 scopus 로고    scopus 로고
    • Fractional calculus: Integral and differential equations of fractional order
    • A. Carpinteri, F. Mainardi (Eds.) Springer, Wien
    • R. Gorenflo, F. Mainardi, Fractional calculus: integral and differential equations of fractional order, in: A. Carpinteri, F. Mainardi (Eds.), Fractals and Fractional Calculus in Continuum Mechanics, Springer, Wien, 1997, pp. 223-276 (reprinted in http://www.fracalmo.org ).
    • (1997) Fractals and Fractional Calculus in Continuum Mechanics , pp. 223-276
    • Gorenflo, R.1    Mainardi, F.2
  • 7
    • 0001407424 scopus 로고    scopus 로고
    • The fundamental solution of the space-time fractional diffusion equation
    • F. Mainardi, Yu. Luchko, and G. Pagnini The fundamental solution of the space-time fractional diffusion equation Fract. Cal. Appl. Anal. 4 2001 153 192 (reprinted in http://www.fracalmo.org )
    • (2001) Fract. Cal. Appl. Anal. , vol.4 , pp. 153-192
    • Mainardi, F.1    Luchko, Yu.2    Pagnini, G.3
  • 8
    • 0037457788 scopus 로고    scopus 로고
    • The Wright functions as solutions of the time-fractional diffusion equation
    • F. Mainardi, and G. Pagnini The Wright functions as solutions of the time-fractional diffusion equation Appl. Math. Comput. 141 2003 51 62
    • (2003) Appl. Math. Comput. , vol.141 , pp. 51-62
    • Mainardi, F.1    Pagnini, G.2
  • 11
    • 0141996364 scopus 로고    scopus 로고
    • Fully discrete random walks for space-time fractional diffusion equations
    • R. Gorenflo, and A. Vivoli Fully discrete random walks for space-time fractional diffusion equations Signal Process. 83 2003 2411 2420
    • (2003) Signal Process. , vol.83 , pp. 2411-2420
    • Gorenflo, R.1    Vivoli, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.