A fractional differential equation model for bike share systems

John R. Graef, Shen Shyang Ho, Lingju Kong, Min Wang

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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.

Original languageEnglish (US)
Article number23
JournalJournal of Nonlinear Functional Analysis
StatePublished - 2019
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Fluid Flow and Transfer Processes
  • Control and Optimization


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