85 Publications (Page 3 of 4)
2013
INTERACTING TIME-FRACTIONAL AND Δν PDES SYSTEMS VIA BROWNIAN-TIME AND INVERSE-STABLE-LÉVY-TIME BROWNIAN SHEETS
ALLOUBA, HASSANAllouba, HassanNane, Erkan and Nane, Erkan
Stochastics and Dynamics, vol. 13, (no. 1), pp. 1250012, 20130300. | Journal Article
 
Transient anomalous sub-diffusion on bounded domains
Meerschaert, MarkNane, Erkan and Vellaisamy, P.
Proceedings of the American Mathematical Society, vol. 141, (no. 2), pp. 710, February 1, 2013. | Journal Article
 
Two-term trace estimates for relativistic stable processes
Bañuelos, RodrigoMijena, Jebessa and Nane, Erkan
2013-09-10. | Journal Article
2012
Fractional Cauchy Problems on Bounded Domains: Survey of Recent Results
Nane, Erkan
Fractional Dynamics and Control, pp. 198, 2012. | Journal Article
 
[Infinity]-time fractional Brownian motion: PDE connections and local times
Nane, ErkanWu, Dongsheng and Xiao, Yimin
ESAIM. Probability and Statistics, vol. 16, pp. 1, 20120101. | Journal Article
 
Space–time fractional diffusion on bounded domains
Chen, Zhen-QingMeerschaert, Mark M and Nane, Erkan
Journal of Mathematical Analysis and Applications, vol. 393, (no. 2), pp. 488, 2012-09-15. | Journal Article
 
Time dependent random fields on spherical non-homogeneous surfaces
D'Ovidio, Mirko and Nane, Erkan
2012-05-29. | Journal Article
 
TRANSIENT ANOMALOUS SUB-DIFFUSION ON BOUNDED DOMAINS.
Meerschaert, Mark MNane, Erkan and Vellaisamy, P
Proceedings of the American Mathematical Society. American Mathematical Society, vol. 2013, (no. 141), pp. 699-710, June 26, 2012. | Journal Article
2011
Distributed-order fractional diffusions on bounded domains
Meerschaert, Mark MNane, Erkan and Vellaisamy, P
Journal of Mathematical Analysis and Applications, vol. 379, (no. 1), pp. 228, 2011-07-01. | Journal Article
 
Fractal Dimensions for Continuous Time Random Walk Limits
Meerschaert, Mark MNane, Erkan and Xiao, Yimin
2011-02-02. | Journal Article
 
Interacting time-fractional and $\Delta^{\nu}$ PDEs systems via Brownian-time and Inverse-stable-L\'evy-time Brownian sheets
Allouba, Hassan and Nane, Erkan
2011-05-03. | Journal Article
 
Strong analytic solutions of fractional Cauchy problems
Mijena, Jebessa B and Nane, Erkan
2011-10-18. | Journal Article
 
The Fractional Poisson Process and the Inverse Stable Subordinator
Meerschaert, MarkNane, Erkan and Vellaisamy, P
Electronic Journal of Probability, vol. 16, pp. 1620, 2011-00-00. | Journal Article
 
Time-changed Poisson processes
Kumar, ANane, Erkan and Vellaisamy, P
Statistics and Probability Letters, vol. 81, (no. 12), pp. 1910, 2011. | Journal Article
2010
STOCHASTIC SOLUTIONS OF A CLASS OF HIGHER ORDER CAUCHY PROBLEMS IN R(d)
Nane, Erkan
Stochastics and Dynamics, vol. 10, (no. 3), pp. 341-366, 2010. | Journal Article
 
The fractional Poisson process and the inverse stable subordinator
Meerschaert, Mark MNane, Erkan and Vellaisamy, P
2010-07-28. | Journal Article
 
Transient anomalous sub-diffusion on bounded domains
Nane, ErkanMeerschaert, Mark M and Vellaisamy, Palaniappan
2010-04-22. | Journal Article
2009
alpha$-Time Fractional Brownian Motion: PDE Connections and Local Times
Nane, ErkanWu, Dongsheng and Xiao, Yimin
2009-11-02. | Journal Article
 
Brownian subordinators and fractional Cauchy problems
Baeumer, BorisMeerschaert, Mark and Nane, Erkan
Transactions of the American Mathematical Society, vol. 361, (no. 7), pp. 3930, 20090701. | Journal Article
 
Correlated continuous time random walks
Meerschaert, Mark MNane, Erkan and Xiao, Yimin
Statistics and Probability Letters, vol. 79, (no. 9), pp. 1202, 2009. | Journal Article
 
Fractional Cauchy Problems on Bounded Domains
Meerschaert, MarkNane, Erkan and Vellaisamy, P.
The Annals of Probability, vol. 37, (no. 3), pp. 1007, 20090501. | Journal Article
 
Laws of the iterated logarithm for a class of iterated processes
Nane, Erkan
Statistics and Probability Letters, vol. 79, (no. 16), pp. 1751, 2009. | Journal Article
 
Space - time duality for fractional diffusion
Baeumer, BorisMeerschaert, Mark M and Nane, Erkan
Journal of Applied Probability, vol. 46, (no. 4), Dec 2009. | Journal Article
2008
A Strong Law of Large Numbers with Applications to Self-Similar Stable Processes
Nane, ErkanXiao, Yimin and Zeleke, Aklilu
2008-10-06. | Journal Article
 
Higher order PDE's and iterated processes
Nane, Erkan
Transactions of the American Mathematical Society, vol. 360, (no. 5), pp. 2692, 20080501. | Journal Article