| Volume 8, Number 1, 2018, Pages 152-171 DOI：10.11948/2018.152 |
| On positive solutions of eigenvalue problems for a class of \emph{p}-Laplacian fractional differential equations |
| Xiaofeng Su,Mei Jia,Xianlong Fu |
| Keywords:Fractional differential equation, \emph{p}-Laplacian operator, integral boundary condition, fixed point, eigenvalue. |
| Abstract: |
| In this paper, we are concerned with the eigenvalue problem of a class of \emph{p}-Laplacian fractional differential equations involving integral boundary conditions. New criteria are established for the existence of positive solutions of the problem under some superlinear and suberlinear conditions. The results of the existence of at least one, two and the nonexistence of positive solutions are also obtained by using the fixed point theory. Finally, several examples are provided to illustrate the obtained results. |
PDF Download reader
|
|
|
|