메뉴 건너뛰기




Volumn 91, Issue 3, 2011, Pages 525-530

Random-order fractional differential equation models

Author keywords

Anomalous diffusion; Anomalous relaxation process; Random order operator; Variable order diffusion model

Indexed keywords

ANOMALOUS DIFFUSION; ANOMALOUS DIFFUSION MODEL; ANOMALOUS RELAXATION PROCESS; EVOLUTION BEHAVIOR; FRACTIONAL DIFFERENTIAL EQUATIONS; FRACTIONAL ORDER; NEW MODEL; NOISE TERMS; NUMERICAL SIMULATION; POTENTIAL APPLICATIONS; RANDOM-ORDER OPERATOR; RELAXATION MODELS; SCALE PARAMETER; VARIABLE-ORDER DIFFUSION MODEL;

EID: 78049351606     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2010.01.027     Document Type: Article
Times cited : (79)

References (31)
  • 2
    • 0002641421 scopus 로고    scopus 로고
    • The random walk's guide to anomalous diffusion: A fractional dynamics approach
    • R. Metzler, and J. Klafter The random walk's guide to anomalous diffusion: a fractional dynamics approach Physics Reports 339 2000 1 77
    • (2000) Physics Reports , vol.339 , pp. 1-77
    • Metzler, R.1    Klafter, J.2
  • 3
    • 33745725683 scopus 로고    scopus 로고
    • A speculative study of 2/3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures
    • W. Chen A speculative study of 2/3-order fractional Laplacian modeling of turbulence: some thoughts and conjectures Chaos 16 2006 023126
    • (2006) Chaos , vol.16 , pp. 023126
    • Chen, W.1
  • 4
    • 0030264775 scopus 로고    scopus 로고
    • On the colecole relaxation function and related Mittag-Lettter distribution
    • K. Weron, and M. Kotulski On the colecole relaxation function and related Mittag-Lettter distribution Physica A 232 1996 180 188
    • (1996) Physica A , vol.232 , pp. 180-188
    • Weron, K.1    Kotulski, M.2
  • 7
    • 0042125176 scopus 로고    scopus 로고
    • Diffusion with space memory modelled with distributed order space fractional differential equations
    • M. Caputo Diffusion with space memory modelled with distributed order space fractional differential equations Annals of Geophysics 46 2 2003 223 234
    • (2003) Annals of Geophysics , vol.46 , Issue.2 , pp. 223-234
    • Caputo, M.1
  • 9
    • 0036650957 scopus 로고    scopus 로고
    • Variable order and distributed order fractional operators
    • C.F. Lorenzo, and T.T. Hartley Variable order and distributed order fractional operators Nonlinear Dynamics 29 2002 57 98
    • (2002) Nonlinear Dynamics , vol.29 , pp. 57-98
    • Lorenzo, C.F.1    Hartley, T.T.2
  • 10
    • 0010073424 scopus 로고
    • Fractional integration and differentiation of variable order
    • S.G. Samko Fractional integration and differentiation of variable order Analysis Mathematica 21 1995 213 236
    • (1995) Analysis Mathematica , vol.21 , pp. 213-236
    • Samko, S.G.1
  • 12
    • 68649098514 scopus 로고    scopus 로고
    • Variable-order fractional differential operators in anomalous diffusion modeling
    • H. Sun, W. Chen, and Y.Q. Chen Variable-order fractional differential operators in anomalous diffusion modeling Physica A 388 2009 4586 4592
    • (2009) Physica A , vol.388 , pp. 4586-4592
    • Sun, H.1    Chen, W.2    Chen, Y.Q.3
  • 13
    • 0035882163 scopus 로고    scopus 로고
    • Truncated Lvy walks and an emerging market economic index
    • L. Couto Miranda, and R. Riera Truncated Lvy walks and an emerging market economic index Physica A 297 2001 509 520
    • (2001) Physica A , vol.297 , pp. 509-520
    • Couto Miranda, L.1    Riera, R.2
  • 14
    • 41349088572 scopus 로고    scopus 로고
    • Retarding subdiffusion and accelerating superdiffusion governed by distributed-order fractional diffusion equations
    • A.V. Chechkin, R. Gorenflo, and I.M. Sokolov Retarding subdiffusion and accelerating superdiffusion governed by distributed-order fractional diffusion equations Physical Review E 66 2002 046129
    • (2002) Physical Review e , vol.66 , pp. 046129
    • Chechkin, A.V.1    Gorenflo, R.2    Sokolov, I.M.3
  • 15
    • 0035848153 scopus 로고    scopus 로고
    • Fractional transport equations for Lvy stable processes
    • E. Lutz Fractional transport equations for Lvy stable processes Physical Review Letters 86 11 2001 2208 2211
    • (2001) Physical Review Letters , vol.86 , Issue.11 , pp. 2208-2211
    • Lutz, E.1
  • 16
    • 33751161217 scopus 로고    scopus 로고
    • A review of anomalous diffusion phenomena at fractal interface for diffusion-controlled and non-diffusion-controlled transfer processes
    • J.-Y. Go, and S.-I. Pyun A review of anomalous diffusion phenomena at fractal interface for diffusion-controlled and non-diffusion-controlled transfer processes Journal of Solid State Electrochemistry 11 2007 323 334
    • (2007) Journal of Solid State Electrochemistry , vol.11 , pp. 323-334
    • Go, J.-Y.1    Pyun, S.-I.2
  • 18
    • 0346897985 scopus 로고    scopus 로고
    • Mechanics with variable-order differential operators
    • C.F.M. Coimbra Mechanics with variable-order differential operators Annals of Physics 12 1112 2003 692 703
    • (2003) Annals of Physics , vol.12 , Issue.11-12 , pp. 692-703
    • Coimbra, C.F.M.1
  • 19
    • 0036650479 scopus 로고    scopus 로고
    • A predictor-corrector approach for the numerical solution of fractional differential equations
    • K. Diethelm, N.J. Ford, and A.D. Freed A predictor-corrector approach for the numerical solution of fractional differential equations Nonlinear Dynamics 29 2002 3 22
    • (2002) Nonlinear Dynamics , vol.29 , pp. 3-22
    • Diethelm, K.1    Ford, N.J.2    Freed, A.D.3
  • 20
    • 34249335010 scopus 로고    scopus 로고
    • Short memory principle and a predictor-corrector approach for fractional differential equations
    • W.H. Deng Short memory principle and a predictor-corrector approach for fractional differential equations Journal of Computational and Applied Mathematics 206 2007 174 188
    • (2007) Journal of Computational and Applied Mathematics , vol.206 , pp. 174-188
    • Deng, W.H.1
  • 21
    • 78049351481 scopus 로고    scopus 로고
    • 〈 http://www.mathworks.com/matlabcentral/fileexchange/26407 〉.
  • 23
    • 40549140431 scopus 로고    scopus 로고
    • Efficient Monte Carlo simulation of uncoupled continuous-time random walks and approximate solution of the fractional diffusion equation
    • D. Fulger, E. Scalas, and G. Germano Efficient Monte Carlo simulation of uncoupled continuous-time random walks and approximate solution of the fractional diffusion equation Physical Review E 77 2008 021122
    • (2008) Physical Review e , vol.77 , pp. 021122
    • Fulger, D.1    Scalas, E.2    Germano, G.3
  • 25
    • 0043075877 scopus 로고    scopus 로고
    • Anomalous diffusion with time- and coordinate-dependent memory
    • Ya.L. Kobelev, L.Ya. Kobelev, and Yu.L. Klimontovich Anomalous diffusion with time- and coordinate-dependent memory Doklady Physics 48 6 2003 264 268
    • (2003) Doklady Physics , vol.48 , Issue.6 , pp. 264-268
    • Kobelev ., Y.L.1    Kobelev, L.Ya.2    Klimontovich ., Y.L.3
  • 26
    • 34249805393 scopus 로고    scopus 로고
    • Numerical approximation of LvyFeller diffusion equation and its probability interpretation
    • H. Zhang, F. Liu, and V. Anh Numerical approximation of LvyFeller diffusion equation and its probability interpretation Journal of Computational and Applied Mathematics 206 2007 1098 1115
    • (2007) Journal of Computational and Applied Mathematics , vol.206 , pp. 1098-1115
    • Zhang, H.1    Liu, F.2    Anh, V.3
  • 28
    • 36048932133 scopus 로고    scopus 로고
    • Intermediate non-Gaussian transport in plasma core turbulence
    • T. Hauff, F. Jenko, and S. Eule Intermediate non-Gaussian transport in plasma core turbulence Physics of Plasmas 14 10 2007 102316
    • (2007) Physics of Plasmas , vol.14 , Issue.10 , pp. 102316
    • Hauff, T.1    Jenko, F.2    Eule, S.3
  • 29
    • 33751019968 scopus 로고    scopus 로고
    • Anomalous diffusion in Purkinje cell dendrites caused by spines
    • F. Santamaria, S. Wils, E. De Schutter, and G.J. Augustine Anomalous diffusion in Purkinje cell dendrites caused by spines Neuron 52 2006 635 648
    • (2006) Neuron , vol.52 , pp. 635-648
    • Santamaria, F.1    Wils, S.2    De Schutter, E.3    Augustine, G.J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.