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| NONEXISTENCE OF POSITIVE SOLUTIONS FOR A FOUR-POINT BOUNDARY VALUE PROBLEM FOR FRACTIONAL DIFFERENTIAL EQUATION |
| Chunfang Shen |
| (College of Math. and Statistics, Hefei Normal University, Hefei 230061, Anhui, PR China) |
| DOI： |
| Abstract: |
| In this paper, we investigate the nonexistence of positive solutions for a class of four-point boundary value problem of nonlinear differential equation with fractional order derivative. We give sufficient conditions on nonlinear term and the parameter such that the boundary value problem has no positive solutions. Some examples are presented to illustrate the main results. |
| Key words: positive solution; fractional differential equation; fixed point; cone |