Existence of solutions to fractional differential equations with multi-point boundary conditions at resonance in Hilbert spaces
This article is devoted to investigating the existence of solutions to fractional multi-point boundary-value problems at resonance in a Hilbert space. More precisely, the dimension of the kernel of the fractional differential operator with the boundary conditions be any positive integer. We po...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-02-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/61/abstr.html |
| Summary: | This article is devoted to investigating the existence of solutions
to fractional multi-point boundary-value problems at resonance
in a Hilbert space. More precisely, the dimension of the kernel
of the fractional differential operator with the boundary conditions
be any positive integer. We point out that the problem is new even
when the system under consideration is reduced to a second-order
ordinary differential system with resonant boundary conditions.
We show that the considered system admits at least a solution by applying
coincidence degree theory first introduced by Mawhin.
An example is presented to illustrate our results. |
|---|---|
| ISSN: | 1072-6691 |