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Volumn 54, Issue 1, 2001, Pages 47-60

Stochastic fractional-order differential models with fractal boundary conditions

Author keywords

60G12; 60G60; Compact fractal d set; Duality condition; Stochastic fractional order differential model; Weak sense Markov property

Indexed keywords


EID: 0002716213     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(01)00043-8     Document Type: Article
Times cited : (24)

References (24)
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    • 0039030378 scopus 로고    scopus 로고
    • Estimation and filtering of fractional generalised random fields
    • Angulo J.M., Ruiz-Medina M.D., Anh V.V. Estimation and filtering of fractional generalised random fields. J. Austral. Math. Soc. A. 69:2000;1-26.
    • (2000) J. Austral. Math. Soc. a , vol.69 , pp. 1-26
    • Angulo, J.M.1    Ruiz-Medina, M.D.2    Anh, V.V.3
  • 6
    • 0041480591 scopus 로고
    • Mathematical Analysis and Numerical Methods for Science and Technology.
    • Berlin: Springer
    • Dautray R., Lions J.L. Mathematical Analysis and Numerical Methods for Science and Technology. Functional and Variational Methods. Vol. 2. 1985;Springer, Berlin.
    • (1985) Functional and Variational Methods , vol.2
    • Dautray, R.1    Lions, J.L.2
  • 8
    • 0003358639 scopus 로고
    • Statistical Mechanics and Fractals
    • (Eds.) Springer, Berlin
    • Dobrushin, R.L., Kusuoka, S. (Eds.), 1993. Statistical Mechanics and Fractals. Lecture Notes in Mathematics, Vol. 1567. Springer, Berlin.
    • (1993) Lecture Notes in Mathematics , vol.1567
    • Dobrushin, R.L.1    Kusuoka, S.2
  • 11
    • 77951516336 scopus 로고
    • A harmonic calculus on the Sierpinski spaces
    • Kigami J. A harmonic calculus on the Sierpinski spaces. Japan J. Appl. Math. 8:1989;259-290.
    • (1989) Japan J. Appl. Math. , vol.8 , pp. 259-290
    • Kigami, J.1
  • 12
    • 84924341601 scopus 로고
    • Harmonic calculus on p.c.p. self-similar sets
    • Kigami J. Harmonic calculus on p.c.p. self-similar sets. Trans. Amer. Math. Soc. 335:1993;721-755.
    • (1993) Trans. Amer. Math. Soc. , vol.335 , pp. 721-755
    • Kigami, J.1
  • 13
    • 84966208492 scopus 로고
    • Fractal drums, inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture
    • Lapidus M.L. Fractal drums, inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture. Trans. AMS. 325:1991;465-529.
    • (1991) Trans. AMS , vol.325 , pp. 465-529
    • Lapidus, M.L.1
  • 14
    • 0000007374 scopus 로고
    • Vibrations of fractal drums. The Riemann hypothesis, waves in fractal media, and the Weyl-Berry conjecture
    • ed. Dundee, Pitman Research Notes in Mathematics, Vol. 289. Longman Scientific and Technical, New York
    • Lapidus, M.L., 1993. Vibrations of fractal drums. The Riemann hypothesis, waves in fractal media, and the Weyl-Berry conjecture. In: Ordinary and partial differential equations, Vol. IV, ed. Dundee, Pitman Research Notes in Mathematics, Vol. 289. Longman Scientific and Technical, New York, pp. 126-209.
    • (1993) In: Ordinary and Partial Differential Equations , vol.4 , pp. 126-209
    • Lapidus, M.L.1
  • 16
    • 0001573296 scopus 로고
    • A markov property for Gaussian processes with multidimensional parameter
    • Pitt L.D. A markov property for Gaussian processes with multidimensional parameter. Arch. Rational Mech. Anal. 43:1971;367-391.
    • (1971) Arch. Rational Mech. Anal. , vol.43 , pp. 367-391
    • Pitt, L.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.