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.
|Journal||Electronic Journal of Differential Equations|
|State||Published - 29 Feb 2016|
- Coincidence degree
- Fractional diﬀerential equations