Research

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

  • Boundary value problems
  • Fractional differential equations
  • Mathematical modeling      
  • Optimal control       
  • Stochastic differential equations       

 Selected Publications

  • On the resilience of a fractional compartment model, Applicable Analysis, (2020) DOI: 10.1080/00036811.2020.1712370
  • A fractional differential equation model for bike share systems, Journal of Nonlinear Functional Analysis, Vol. 2019 (2019), Article ID 23, pp. 1-14. (with J. R. Graef, S. Ho, and L. Kong)
  • CVA for Cliquet options under Heston model, The North American Journal of Economics and Finance, 48 (2019), 272--282. (with Y. Feng and Y. Zhang)
  • 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)
  • 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)

By Mar., 2020, I have published 50 research papers. Here is a complete list of my publications on Google Scholar.

Funding

  • KSU First-Year Scholars Program: Data-Driven Neural Equation Modeling for Public Transportation, Office of Undergraduate Research, Kennesaw State University, $4,000, 2020 -- 2021.
  • KSU CSM Mentor Protégé Award: Data-Driven Neural Equation Modeling for Public Transportation, College of Science and Mathematics (CSM), Kennesaw State University, $1,029, 2020 -- 2021.
  • KSU CSM Mentor Protégé Award: Data-Driven Models for Highway Traffic Anomalies Detection, Long Wang and Min Wang (PI), College of Science and Mathematics (CSM), Kennesaw State University, $2,680, 2019 -- 2020.
  • ATD: New Approaches for Analyzing Spatiotemporal Data for Anomalies. Shen Shyang Ho and Min Wang (Co-PI), NSF (Award No. 1830489), $124,998, August 15, 2018 -- July 31, 2021.
  • REU Site: Differential/Difference Equation Models and Number Theory. John R. Graef, Lingju Kong, Andrew Ledoan, and Min Wang (Senior Personnel), NSF (Award No. 1261308), $290,000, May 1, 2013 -- April 30, 2017. 
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