Abstract
In this paper, we study the existence and multiplicity of positive solutions of a class of nonlinear fractional boundary value problems with Dirichlet boundary conditions. By applying the fixed point theory on cones we establish a series of criteria for the existence of one, two, any arbitrary finite number, and an infinite number of positive solutions. A criterion for the nonexistence of positive solutions is also derived. Several examples are given for demonstration.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1-13 |
| Number of pages | 13 |
| Journal | Electronic Journal of Qualitative Theory of Differential Equations |
| DOIs | |
| State | Published - 2012 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Applied Mathematics
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