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Volumn 31, Issue 2, 2004, Pages 15-32

Fractional extensions of the temperature field problem in oil strata

Author keywords

Caputo's differintegration operator; Fractional heat equation; Fractional integrals and derivatives; Laplace transform; Wright function

Indexed keywords


EID: 27744553159     PISSN: 10248684     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (19)

References (25)
  • 3
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    • Some boundary value problems of temperature fields in oil strata
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    • (2003) Applied Mathematics and Computation , vol.146 , pp. 105-119
    • Ben Nakhi, Y.1    Kalla, S.L.2
  • 4
    • 84977255207 scopus 로고
    • Linear models of dissipation whose Q is almost frequency independent-II
    • Caputo, M. 1967. Linear models of dissipation whose Q is almost frequency independent-II. Geophysical Journal of the Royal Astronomical Society 13: 529-539.
    • (1967) Geophysical Journal of the Royal Astronomical Society , vol.13 , pp. 529-539
    • Caputo, M.1
  • 5
    • 0000930143 scopus 로고
    • A new dissipation model based on memory mechanism
    • Caputo, M. & Mainardi, F. 1971. A new dissipation model based on memory mechanism. Pure and Applied Geophysics 91: 134-147.
    • (1971) Pure and Applied Geophysics , vol.91 , pp. 134-147
    • Caputo, M.1    Mainardi, F.2
  • 10
    • 0003144812 scopus 로고
    • On ultraslow and on intermediate processes
    • In: Rusev, P., Dimovski I. & Kiryakova V. (Eds.), SCT Publishers, Singapore
    • Gorenflo, R. & Rutman, R. 1995. On ultraslow and on intermediate processes. In: Rusev, P., Dimovski, I. & Kiryakova, V. (Eds.). Transform Methods And Special Functions, SCT Publishers, Singapore.
    • (1995) Transform Methods and Special Functions
    • Gorenflo, R.1    Rutman, R.2
  • 12
    • 0001869174 scopus 로고
    • On the initial value problem for the fractional diffusion-wave equation
    • In: Rionero, S. & Ruggeri, T. (Eds.), World Scientific, Singapore
    • Mainardi, F. 1994. On the initial value problem for the fractional diffusion-wave equation. In: Rionero, S. & Ruggeri, T. (Eds.). Waves and Stability in Continuous Media. Pp. 246-251. World Scientific, Singapore.
    • (1994) Waves and Stability in Continuous Media , pp. 246-251
    • Mainardi, F.1
  • 13
    • 0030464353 scopus 로고    scopus 로고
    • Fractional relaxation-oscillation and fractional diffusion-wave phenomena
    • Mainardi, F. 1996a. Fractional relaxation-oscillation and fractional diffusion-wave phenomena. Chaos, Solitons and Fractals 7: 1461-1477.
    • (1996) Chaos, Solitons and Fractals , vol.7 , pp. 1461-1477
    • Mainardi, F.1
  • 14
    • 30244460855 scopus 로고    scopus 로고
    • The fundamental solutions for the fractional diffusion-wave equation
    • Mainardi, F. 1996b. The fundamental solutions for the fractional diffusion-wave equation. Applied Mathematics Letters 9: 23-28.
    • (1996) Applied Mathematics Letters , vol.9 , pp. 23-28
    • Mainardi, F.1
  • 16
    • 43949160695 scopus 로고
    • Fractional model equation for anomalous diffusion
    • Metzler, R., Glöckle, W.G. & Nonnenmacher, T.F. 1994. Fractional model equation for anomalous diffusion. Physica A 211: 13-24.
    • (1994) Physica A , vol.211 , pp. 13-24
    • Metzler, R.1    Glöckle, W.G.2    Nonnenmacher, T.F.3
  • 18
    • 0021448875 scopus 로고
    • To the theoretical explanation of the "universal response"
    • Nigmatullin, R.R. 1984. To the theoretical explanation of the "universal response". Physica Status Solidi (B), 123: 739-745.
    • (1984) Physica Status Solidi (B) , vol.123 , pp. 739-745
    • Nigmatullin, R.R.1
  • 19
    • 0022492943 scopus 로고
    • The realization of the generalized transfer equation in a medium with fractal geometry
    • Nigmatullin, R.R. 1986. The realization of the generalized transfer equation in a medium with fractal geometry. Physica Status Solidi (B), 133: 425-430.
    • (1986) Physica Status Solidi (B) , vol.133 , pp. 425-430
    • Nigmatullin, R.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.