Sabir Umarov

 

 
 

 

 

 

 

 

 

 

 

 

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