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Volumn 83, Issue 4, 2013, Pages 1006-1017

On the integral of fractional Poisson processes

Author keywords

Mittag Leffler generalized functions; Riemann Liouville fractional integrals; Skellam distribution

Indexed keywords


EID: 84873646394     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2012.12.016     Document Type: Article
Times cited : (16)

References (20)
  • 1
    • 70349472846 scopus 로고    scopus 로고
    • Fractional Poisson processes and related planar random motions
    • Beghin L., Orsingher E. Fractional Poisson processes and related planar random motions. Electronic Journal of Probability 2009, 14(61):1790-1826.
    • (2009) Electronic Journal of Probability , vol.14 , Issue.61 , pp. 1790-1826
    • Beghin, L.1    Orsingher, E.2
  • 2
    • 77953157380 scopus 로고    scopus 로고
    • Poisson-type processes governed by fractional and higher-order recursive differential equations
    • Beghin L., Orsingher E. Poisson-type processes governed by fractional and higher-order recursive differential equations. Electronic Journal of Probability 2010, 15(22):684-709.
    • (2010) Electronic Journal of Probability , vol.15 , Issue.22 , pp. 684-709
    • Beghin, L.1    Orsingher, E.2
  • 4
    • 0343489195 scopus 로고
    • The area under the infectives trajectory of the general stochastic epidemic
    • Downton F. The area under the infectives trajectory of the general stochastic epidemic. Journal of Applied Probability 1972, 9:414-417.
    • (1972) Journal of Applied Probability , vol.9 , pp. 414-417
    • Downton, F.1
  • 6
  • 7
    • 0345397838 scopus 로고
    • A note on the cost of the simple epidemic
    • Jerwood D. A note on the cost of the simple epidemic. Journal of Applied Probability 1970, 7:440-443.
    • (1970) Journal of Applied Probability , vol.7 , pp. 440-443
    • Jerwood, D.1
  • 8
    • 27744466561 scopus 로고    scopus 로고
    • Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the kernels
    • Kilbas A.A., Saigo M., Saxena R.K. Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the kernels. Journal of Integral Equations and Applications 2002, 14(4):377-396.
    • (2002) Journal of Integral Equations and Applications , vol.14 , Issue.4 , pp. 377-396
    • Kilbas, A.A.1    Saigo, M.2    Saxena, R.K.3
  • 12
    • 80053136630 scopus 로고    scopus 로고
    • The fractional Poisson process and the inverse stable subordinator
    • Meerschaert M.M., Nane E., Vellaisamy P. The fractional Poisson process and the inverse stable subordinator. Electronic Journal of Probability 2011, 16(59):1600-1620.
    • (2011) Electronic Journal of Probability , vol.16 , Issue.59 , pp. 1600-1620
    • Meerschaert, M.M.1    Nane, E.2    Vellaisamy, P.3
  • 14
    • 84867440696 scopus 로고    scopus 로고
    • Full characterization of the fractional Poisson process
    • Politi M., Kaizoji T., Scalas E. Full characterization of the fractional Poisson process. Europhysics Letters 2011, 26(2):20004.
    • (2011) Europhysics Letters , vol.26 , Issue.2 , pp. 20004
    • Politi, M.1    Kaizoji, T.2    Scalas, E.3
  • 15
    • 0037376826 scopus 로고    scopus 로고
    • Integrals for continuous-time Markov chains
    • Pollett P.K. Integrals for continuous-time Markov chains. Mathematical Biosciences 2003, 182(2):213-225.
    • (2003) Mathematical Biosciences , vol.182 , Issue.2 , pp. 213-225
    • Pollett, P.K.1
  • 16
    • 0842337110 scopus 로고
    • A singular integral equation with a generalized Mittag-Leffler function in the kernel
    • Prabhakar T.R. A singular integral equation with a generalized Mittag-Leffler function in the kernel. Yokohama Mathematical Journal 1971, 19:7-15.
    • (1971) Yokohama Mathematical Journal , vol.19 , pp. 7-15
    • Prabhakar, T.R.1
  • 17
    • 0013915135 scopus 로고
    • On the homogeneous birth-and-death process and its integral
    • Puri P.S. On the homogeneous birth-and-death process and its integral. Biometrika 1966, 53(1-2):61-71.
    • (1966) Biometrika , vol.53 , Issue.1-2 , pp. 61-71
    • Puri, P.S.1
  • 18
    • 0842346737 scopus 로고    scopus 로고
    • Generalized Mittag-Leffler function and generalized fractional calculus operators
    • Saigo M., Saxena R.K., Kilbas A. Generalized Mittag-Leffler function and generalized fractional calculus operators. Integral Transforms and Special Functions 2004, 15(1):31-49.
    • (2004) Integral Transforms and Special Functions , vol.15 , Issue.1 , pp. 31-49
    • Saigo, M.1    Saxena, R.K.2    Kilbas, A.3
  • 19
    • 64449085065 scopus 로고    scopus 로고
    • Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
    • Srivastava H.M., Tomovski Ž Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel. Applied Mathematics and Computation 2009, 211(1):198-210.
    • (2009) Applied Mathematics and Computation , vol.211 , Issue.1 , pp. 198-210
    • Srivastava, H.M.1    Tomovski Ž2
  • 20
    • 0033667807 scopus 로고    scopus 로고
    • A note on integrals for birth-death processes
    • Stefanov V.T., Wang S. A note on integrals for birth-death processes. Mathematical Biosciences 2000, 168(2):161-165.
    • (2000) Mathematical Biosciences , vol.168 , Issue.2 , pp. 161-165
    • Stefanov, V.T.1    Wang, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.