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Sturm Liouville Equations in the frame of fractional operators with exponential kernels and their discrete versions

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cris.virtual.department#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtual.orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.department135282e1-418a-4ef0-840a-cca682ac5ddf
cris.virtualsource.orcid135282e1-418a-4ef0-840a-cca682ac5ddf
dc.contributor.affiliationPrince Sultan University; Turk Hava Kurumu University; Turkish Aeronautical Association; University of Nebraska System; University of Nebraska Lincoln
dc.contributor.authorAbdeljawad, Thabet; Mert, Raziye; Peterson, Allan
dc.date.accessioned2024-06-25T11:45:52Z
dc.date.available2024-06-25T11:45:52Z
dc.date.issued2019
dc.description.abstractIn this article, we study Sturm-Liouville Equations (SLEs) in the frame of fractional operators with exponential kernels. We formulate some Fractional Sturm-Liouville Problems (FSLPs) with the differential part containing the left and right sided derivatives with exponential kernels. We investigate the self-adjointness, eigenvalue and eigenfunction properties of the corresponding Fractional Sturm-Liouville Operators (FSLOs) by using fractional integration by parts formulas. The nabla discrete version of our results are also established. Finally, an example is analyzed to illustrate the method of solution.
dc.description.doi10.2989/16073606.2018.1514540
dc.description.endpage1289
dc.description.issue9
dc.description.pages19
dc.description.researchareasMathematics
dc.description.startpage1271
dc.description.urihttp://dx.doi.org/10.2989/16073606.2018.1514540
dc.description.volume42
dc.description.woscategoryMathematics
dc.identifier.issn1607-3606
dc.identifier.urihttps://acikarsiv.thk.edu.tr/handle/123456789/1348
dc.language.isoEnglish
dc.publisherNATL INQUIRY SERVICES CENTRE PTY LTD
dc.relation.journalQUAESTIONES MATHEMATICAE
dc.subjectFractional Sturm-Liouville problem; CFR and CFC fractional derivatives; CFR and CFC fractional differences; exponential kernel
dc.subjectMITTAG-LEFFLER KERNEL
dc.titleSturm Liouville Equations in the frame of fractional operators with exponential kernels and their discrete versions
dc.typeArticle
dspace.entity.typePublication

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