85 Publications (Page 3 of 4)
2013
INTERACTING TIME-FRACTIONAL AND Δν PDES SYSTEMS VIA BROWNIAN-TIME AND INVERSE-STABLE-LÉVY-TIME BROWNIAN SHEETSALLOUBA, HASSAN⋅Allouba, Hassan⋅Nane, Erkan and Nane, ErkanStochastics and Dynamics, vol. 13, (no. 1), pp. 1250012, 20130300.
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Transient anomalous sub-diffusion on bounded domainsMeerschaert, Mark⋅Nane, Erkan and Vellaisamy, P.Proceedings of the American Mathematical Society, vol. 141, (no. 2), pp. 710, February 1, 2013.
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Two-term trace estimates for relativistic stable processesBañuelos, Rodrigo⋅Mijena, Jebessa and Nane, Erkan2013-09-10.
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2012
Fractional Cauchy Problems on Bounded Domains: Survey of Recent ResultsNane, ErkanFractional Dynamics and Control, pp. 198, 2012.
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[Infinity]-time fractional Brownian motion: PDE connections and local timesNane, Erkan⋅Wu, Dongsheng and Xiao, YiminESAIM. Probability and Statistics, vol. 16, pp. 1, 20120101.
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Space–time fractional diffusion on bounded domainsChen, Zhen-Qing⋅Meerschaert, Mark M and Nane, ErkanJournal of Mathematical Analysis and Applications, vol. 393, (no. 2), pp. 488, 2012-09-15.
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Time dependent random fields on spherical non-homogeneous surfacesD'Ovidio, Mirko and Nane, Erkan2012-05-29.
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TRANSIENT ANOMALOUS SUB-DIFFUSION ON BOUNDED DOMAINS.Meerschaert, Mark M⋅Nane, Erkan and Vellaisamy, PProceedings of the American Mathematical Society. American Mathematical Society, vol. 2013, (no. 141), pp. 699-710, June 26, 2012.
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2011
Distributed-order fractional diffusions on bounded domainsMeerschaert, Mark M⋅Nane, Erkan and Vellaisamy, PJournal of Mathematical Analysis and Applications, vol. 379, (no. 1), pp. 228, 2011-07-01.
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Fractal Dimensions for Continuous Time Random Walk LimitsMeerschaert, Mark M⋅Nane, Erkan and Xiao, Yimin2011-02-02.
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Interacting time-fractional and $\Delta^{\nu}$ PDEs systems via Brownian-time and Inverse-stable-L\'evy-time Brownian sheetsAllouba, Hassan and Nane, Erkan2011-05-03.
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Strong analytic solutions of fractional Cauchy problemsMijena, Jebessa B and Nane, Erkan2011-10-18.
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The Fractional Poisson Process and the Inverse Stable SubordinatorMeerschaert, Mark⋅Nane, Erkan and Vellaisamy, PElectronic Journal of Probability, vol. 16, pp. 1620, 2011-00-00.
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Time-changed Poisson processesKumar, A⋅Nane, Erkan and Vellaisamy, PStatistics and Probability Letters, vol. 81, (no. 12), pp. 1910, 2011.
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2010
STOCHASTIC SOLUTIONS OF A CLASS OF HIGHER ORDER CAUCHY PROBLEMS IN R(d)Nane, ErkanStochastics and Dynamics, vol. 10, (no. 3), pp. 341-366, 2010.
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The fractional Poisson process and the inverse stable subordinatorMeerschaert, Mark M⋅Nane, Erkan and Vellaisamy, P2010-07-28.
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Transient anomalous sub-diffusion on bounded domainsNane, Erkan⋅Meerschaert, Mark M and Vellaisamy, Palaniappan2010-04-22.
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2009
alpha$-Time Fractional Brownian Motion: PDE Connections and Local TimesNane, Erkan⋅Wu, Dongsheng and Xiao, Yimin2009-11-02.
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Brownian subordinators and fractional Cauchy problemsBaeumer, Boris⋅Meerschaert, Mark and Nane, ErkanTransactions of the American Mathematical Society, vol. 361, (no. 7), pp. 3930, 20090701.
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Correlated continuous time random walksMeerschaert, Mark M⋅Nane, Erkan and Xiao, YiminStatistics and Probability Letters, vol. 79, (no. 9), pp. 1202, 2009.
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Fractional Cauchy Problems on Bounded DomainsMeerschaert, Mark⋅Nane, Erkan and Vellaisamy, P.The Annals of Probability, vol. 37, (no. 3), pp. 1007, 20090501.
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Laws of the iterated logarithm for a class of iterated processesNane, ErkanStatistics and Probability Letters, vol. 79, (no. 16), pp. 1751, 2009.
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2008
A Strong Law of Large Numbers with Applications to Self-Similar Stable ProcessesNane, Erkan⋅Xiao, Yimin and Zeleke, Aklilu2008-10-06.
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Higher order PDE's and iterated processesNane, ErkanTransactions of the American Mathematical Society, vol. 360, (no. 5), pp. 2692, 20080501.
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