Non-Integer Variable Order Dynamic Equations on Time Scales Involving Caputo-Fabrizio Type Differential Operator
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Nategh, M. | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2025-09-23T12:51:23Z | |
| dc.date.available | 2025-09-23T12:51:23Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | This work deals with the conecept of a Caputo-Fabrizio type non-integer variable order differential opertor on time scales that involves a non-singular kernel. A measure theoretic discussion on the limit cases for the order of differentiation is presented. Then, corresponding to the fractional derivative, we discuss on an integral for constant and variable orders. Beside the obtaining solutions to some dynamic problems on time scales involving the proposed derivative, a fractional folrmulation for the viscoelastic oscillation problem is studied and its conversion into a third order dynamic equation is presented. © 2018 by Eudoxus Press, LLC. All rights reserved. | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Nategh, Mehdi (2018). "Non-integer variable order dynamic equations on time scales involving caputo-fabrizio type differential operator", Journal of Computational Analysis and Applications, Vol. 24, No. 5, pp. 886-899. | en_US |
| dc.identifier.issn | 1521-1398 | |
| dc.identifier.scopus | 2-s2.0-85027353746 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15625 | |
| dc.language.iso | en | en_US |
| dc.publisher | Eudoxus Press, LLC | en_US |
| dc.relation.ispartof | Journal of Computational Analysis and Applications | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Caputo-Fabrizio Derivative | en_US |
| dc.subject | Dirac Delta Functional | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Non-Integer Variable Order Derivative And Integral | en_US |
| dc.subject | Time Scales | en_US |
| dc.subject | Viscoelastic Oscillation | en_US |
| dc.title | Non-Integer Variable Order Dynamic Equations on Time Scales Involving Caputo-Fabrizio Type Differential Operator | en_US |
| dc.title | Non-integer variable order dynamic equations on time scales involving caputo-fabrizio type differential operator | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 57193007081 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Baleanu D., Department of Mathematics and Computer Sciences, Çankaya University, Ankara, Turkey; Nategh M., Department of Mathematics, University of Mazandran, Babolsar, Iran | en_US |
| gdc.description.endpage | 899 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.startpage | 886 | en_US |
| gdc.description.volume | 24 | en_US |
| gdc.scopus.citedcount | 2 | |
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