Sabir Umarov

LINKS Stanly Steinberg FraCalMo AMS SIAM ISAAC Fractional Calculus and Applied Analysis REVIEWs ZBL MATH Math Reviews NEWS Conference in Catania, Italy, July 2007	Sabir Umarov Department of Mathematics Tufts University Medford, MA  02155	Office: Bromfield-Pearson, Room # 106 Phone: +1 (617) 627 2357 Fax: +1 (617) 627 3966 E-Mail: sabir.umarov@tufts.edu
	Personal and Education Information                            Click here for CV Teaching 2005   Spring Fall 2006   Spring    Fall 2007   Spring    Fall 2008 Spring Fall 2009 Spring Fall Fields of interest Fractional Differential Equations and their Applications  Stochastic Differential Equations Pseudo-Differential Operators, Equations and Spectra Function Spaces PDE with Complex Variables Diffusion Processes in Cell Biology My current research interests Recent Publications                                            (with Hahn M. and Kobayashi K.) SDEs driven by a time-changed Levy process and their associated time-fractional order pseudo-differential equations, 2009 (submitted) ArXiv: 0907.0253 (with Steinberg S.) Variable order differential equations with piecewise constant order-function and diffusion with changing modes. Zeitschrift fur Analysis und ihre Anwendungen, 2009, 28, 4, 431-450 (with Queiros S.D) Functional-differential equations for Fq-transforms of q-Gaussians. (submitted) ArXiv: 0802.0264 (with Tsallis C.) On a representation of inverse Fq-transform. (2008) Physics Letters A. V 372, 29, 4874-4876. (with Tsallis C., Gell-Mann M. and Steinberg. S) q-generalization of symmetric alpha-stable distributions Part I: ArXiv: cond-mat/0606038, Part II: ArXiv: cond-mat/0606040 (with Andries E., Steinberg S.) Monte Carlo Random Walk Simulations Based on Distributed Order Differential Equations with Applications to Cell Biology. FCAA, (2006) V 9, N 4, 351-369. (with Sajdamatov E.M.) A fractional analog of the Duhamel principle. FCAA, V 9, (2006), No 1, p. 57-70. (with Tsallis C. and Steinberg S.) A generalization of the central limit theorem consistent with nonextensive statistical mechanics. Milan Journal of Mathematics, 2008, 76, 1, 307-328 (with Gorenflo R.) The Cauchy and multipoint problems for distributed order fractional differential equations. Zeitschrift fur Analysis und ihre Anwendungen, V.24 (2005), No 3, p. 449-466. List of Publications