Representation of solutions for Sturm-Liouville eigenvalue problems with generalized fractional derivative

Ozarslan, Ramazan; Bas, Erdal; Baleanu, Dumitru

dc.contributor.author	Ozarslan, Ramazan
dc.contributor.author	Bas, Erdal
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2021-02-01T11:17:46Z
dc.date.available	2021-02-01T11:17:46Z
dc.date.issued	2020-03
dc.identifier.citation	Ozarslan, Ramazan; Bas, Erdal; Baleanu, Dumitru (2020). "Representation of solutions for Sturm-Liouville eigenvalue problems with generalized fractional derivative", Chaos, Vol. 30, No. 3.	tr_TR
dc.identifier.issn	1054-1500
dc.identifier.issn	1089-7682
dc.identifier.uri	http://hdl.handle.net/20.500.12416/4521
dc.description.abstract	We analyze fractional Sturm-Liouville problems with a new generalized fractional derivative in five different forms. We investigate the representation of solutions by means of rho-Laplace transform for generalized fractional Sturm-Liouville initial value problems. Finally, we examine eigenfunctions and eigenvalues for generalized fractional Sturm-Liouville boundary value problems. All results obtained are compared with simulations in detail under different alpha fractional orders and real rho values. Published under license by AIP Publishing.	tr_TR
dc.language.iso	eng	tr_TR
dc.relation.isversionof	10.1063/1.5131167	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess	tr_TR
dc.subject	System	tr_TR
dc.title	Representation of solutions for Sturm-Liouville eigenvalue problems with generalized fractional derivative	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Chaos	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.identifier.volume	30	tr_TR
dc.identifier.issue	3	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü	tr_TR