My research interests are in applied mathematics, more specifically, in differential/difference equations and their applications that include

 

l  Dynamical systems

l  Mathematical finance

l  Mathematical modeling

l  Nonlinear boundary value problems      

l  Numerical solutions of differential equations       

l  Stochastic differential equations       

 

Selected Publications

 

l  A stochastic model of nosocomial epidemics in hospital intensive care units, Electronic Journal of Qualitative Theory of Differential Equations 2017, No. 6, 1--12. (with C. Browne and G. F. Webb)

l  On a fractional boundary value problem with a perturbation term, Journal of Applied Analysis and Computation 7 (2017), 57--66. (with J. R. Graef, L. Kong, and Q. Kong)

l  Stationary solution of a stochastic nosocomial epidemic model in hospital intensive care units, Stochastic Anal. Appl. 32 (2014), 840--850. (with J. R. Graef and L. Kong)

l  A Chebyshev spectral method for solving Riemann-Liouville fractional boundary value problems, Appl. Math. Comput. 241 (2014), 140--150. (with J. R. Graef and L. Kong)

l  Existence and uniqueness of solutions for a fractional boundary value problem with Dirichlet boundary condition, Electron. J. Qual. Theory Differ. Equ. 2013 (2013), No. 55, 1--11. (with J. R. Graef, L. Kong, and Q. Kong)

 

By December 2016, I have published 39 research papers. Here is a complete list of my publications on Google Scholar.

 

 

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