A fractional boundary value problem with dirichlet boundary condition

John R. Graef, Lingju Kong, Qingkai Kong, Min Wang

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


In this paper, the authors study a nonlinear fractional boundary value problem consisting of the equation D 0+u + aD 0+u = w(t)f(u), 1 < 2, 0 1, and the Dirichlet boundary condition. The associated Green's function is derived in terms of the generalized Mittag-Leffler function, and the existence of solutions is established based on it.

Original languageEnglish (US)
Pages (from-to)497-504
Number of pages8
JournalCommunications in Applied Analysis
StatePublished - Jan 1 2015

All Science Journal Classification (ASJC) codes

  • Analysis
  • Numerical Analysis
  • Modeling and Simulation
  • Applied Mathematics


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