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Award ID contains: 1830489

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  1. ; ( , Differential equations applications)
    In this paper, we propose a set of ordinary differential equation models for online social networks and then consider the optimal control problem subject to a type of objective functions. Numerical simulations are conducted to demonstrate the applications as well. 
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  2. ; ( , Electronic journal on the qualitative theory of differential equations)
    In this article, we investigate the existence of positive solutions of a boundary value problem for a system of fractional differential equations. The resilience of a fractional compartment system is also studied to demonstrate the application of the result. 
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  3. ; ; ; ( , Mathematics and Computers in Simulation)
    null (Ed.)
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  4. ; ; ; ( , International Journal of Difference Equations)
    Anderson, Douglas R ; Eloe, P ; Goodrich, C ; Peterson, A (Ed.)
    In this paper, a discrete Markov chain model is developed to describe the inventory at a bike share station. The uniqueness of solutions is first studied. Then the model calibration is considered by investigating a constrained optimization problem. Numerical simulations involving real data are conducted to demonstrate the model effectiveness as well. 
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  5. ( , Applicable Analysis)
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  6. ; ; ( , Proceedings of the 3rd ACM SIGSPATIAL International Workshop on Analytics for Local Events and News)
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  7. ; ; ; ( , Journal of Nonlinear Functional Analysis)
    In this paper, a fractional differential equation model is developed to describe the bike share station status based on data analysis of historical data of bike share systems in Philadelphia and Atlanta. The analytic solution and a related control problem are investigated as well. 
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