Zhou, Hua-ChengGe, Fu-DongKou, Chun-Hai2023-06-152023-06-152016-02-29Zhou, H. C., Ge, F. D., & Kou, C. H. (2016). Existence of solutions to fractional differential equations with multi-point boundary conditions at resonance in Hilbert spaces. Electronic Journal of Differential Equations, 2016(61), pp. 1-16.1072-6691https://hdl.handle.net/10877/16934This 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.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalFractional differential equationsResonanceCoincidence degreeArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.