Existence of solutions for fractional differential equations with Dirichlet boundary conditions
In this article, we apply the Nehari manifold to prove the existence of a solution of the fractional differential equation $$\displaylines{ \frac{d}{dt} \Big(\frac12 {\,}_0D_t^{-\beta}(u'(t)) +\frac12 {\,}_tD_T^{-\beta}(u'(t)))= f(t,u(t)) + \lambda h(t)|u(t)|^{r-2}u(t), \cr \text{a.e...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/116/abstr.html |