Sabir
Umarov
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Office: Bromfield-Pearson, Room # 106 Phone: +1 (617) 627 2357 Fax: +1 (617) 627 3966 E-Mail: sabir.umarov@tufts.edu |
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Personal and Education
Information
Click here for CV Teaching 2005 Spring Fall 2006 Spring Fall 2007 Spring Fall 2008 Spring Fall Fields of interest Fractional Differential Equations and their Applications Random
Walk Models Fractional
Diffusion Processes Pseudo-Differential Operators, Equations and Spectra Function Spaces PDE with Complex Variables Diffusion
Processes in Cell Biology Recent Publications (with Steinberg S.) Variable
order differential equations with piecewise constant order-function and
diffusion with changing modes. Zeitschrift fur Analysis und ihre
Anwendungen, 2008, (to appear) (with Queiros S.D) Functional-differential
equations for Fq-transforms of q-Gaussians. (submitted) (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 (with Andries E.,
Steinberg S.) (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. ArXiv: cond-mat/0603593 (with Steinberg S.) Random walk models associated with distributed fractional order differential equations. IMS Lecture Notes - Monograph Series. High Dimensional Probability. V. 51, (2006), 117-127. (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. (with Gorenflo R.) On multi-dimensional symmetric
random walk models approximating fractional diffusion processes. Fractional Calculus and Applied
Analysis, V. 8
(2005) No 1, p.73-88. |
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