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Volumn 17, Issue 1, 2011, Pages 114-137

On a fractional linear birth - Death process

Author keywords

Extinction probabilities; Fractional derivatives; Fractional diffusion equations; Generalized birth Death process; Iterated Brownian motion; Mittag Leffler functions

Indexed keywords


EID: 79951591705     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/10-BEJ263     Document Type: Article
Times cited : (47)

References (11)
  • 2
    • 70349472846 scopus 로고    scopus 로고
    • Fractional Poisson processes and related planar random motions
    • MR2535014
    • Beghin, L. and Orsingher, E. (2009). Fractional Poisson processes and related planar random motions. Electron. J. Probab. 14 1790-1826. MR2535014
    • (2009) Electron. J. Probab. , vol.14 , pp. 1790-1826
    • Beghin, L.1    Orsingher, E.2
  • 6
    • 0742323831 scopus 로고    scopus 로고
    • Time-fractional telegraph equations and telegraph processes with brownian time
    • DOI 10.1007/s00440-003-0309-8
    • Orsingher, E. and Beghin, L. (2004). Time-fractional telegraph equations and telegraph processes with Brownian time. Probab. Theory Related Fields 128 141-160. MR2027298 (Pubitemid 38157144)
    • (2004) Probability Theory and Related Fields , vol.128 , Issue.1 , pp. 141-160
    • Orsingher, E.1    Beghin, L.2
  • 7
    • 63049113652 scopus 로고    scopus 로고
    • Fractional diffusion equations and processes with randomlyvarying time
    • MR2489164
    • Orsingher, E. and Beghin, L. (2009). Fractional diffusion equations and processes with randomlyvarying time. Ann. Probab. 37 206-249. MR2489164
    • (2009) Ann. Probab. , vol.37 , pp. 206-249
    • Orsingher, E.1    Beghin, L.2
  • 8
    • 77956544273 scopus 로고    scopus 로고
    • Fractional pure birth processes
    • To appear
    • Orsingher, E. and Polito, F. (2010). Fractional pure birth processes. Bernoulli. To appear.
    • (2010) Bernoulli
    • Orsingher, E.1    Polito, F.2
  • 11
    • 44349186861 scopus 로고    scopus 로고
    • A fractional Poisson process in a model of dispersive charge transport in semiconductors
    • DOI 10.1515/RJNAMM.2008.018
    • Uchaikin, V.V. and Sibatov, R.T. (2008). A fractional Poisson process in a model of dispersive charge transport in semiconductors. Russian J. Numer. Anal. Math. Modelling 23 283-297. MR2414873 (Pubitemid 351745117)
    • (2008) Russian Journal of Numerical Analysis and Mathematical Modelling , vol.23 , Issue.3 , pp. 283-297
    • Uchaikin, V.V.1    Sibatov, R.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.