Existence of solutions to fractional differential equations with multi-point boundary conditions at resonance in Hilbert spaces

Simple item page
dc.contributor.authorZhou, Hua-Cheng
dc.contributor.authorGe, Fu-Dong
dc.contributor.authorKou, Chun-Hai
dc.date.accessioned2023-06-15T13:28:41Z
dc.date.available2023-06-15T13:28:41Z
dc.date.issued2016-02-29
dc.description.abstractThis 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhou, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16934
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectFractional differential equations
dc.subjectResonance
dc.subjectCoincidence degree
dc.titleExistence of solutions to fractional differential equations with multi-point boundary conditions at resonance in Hilbert spaces
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
zhou.pdf
Size:
268.21 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations