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
  • Machine learning
  • Mathematical modeling      
  • Optimal control       
  • Stochastic differential equations       

By March 2020, I have published 50 research papers. Here is a complete list of my publications on Google Scholar. Some applications of my expertise in Minecraft are listed here.

 Selected Publications

  • Optimal control for an ordinary differential equation online social network model, Differential Equations & Applications 14 (2022), 205--214. (with L. Kong)
  • A Variational Framework for a Second Order Discrete Boundary Value Problem with Mixed Periodic Boundary Conditions, Results Math, 76, 98 (2021). (with J. R. Graef and L. Kong)
  • 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)
  • 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)

 

Fundings

  • KSU Inspire Summer Scholars Program: Machine Learning in Minecraft, College of Science and Mathematics (CSM), Kennesaw State University, 2024.
  • KSU Inspire Summer Scholars Program: Machine Learning in Minecraft, College of Science and Mathematics (CSM), Kennesaw State University, 2023.
  • KSU First-Year Scholars Program: Machine Learning in Minecraft, Office of Undergraduate Research, Kennesaw State University, 2022 -- 2023.
  • KSU CSM Grant for Success in Maintaining Extramural Funding ($9,700), 2022.
  • 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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