On a Singular System of Fractional Nabla Difference Equations With Boundary Conditions
| dc.contributor.author | Baleanu, Dumitru I. | |
| dc.contributor.author | Dassios, Ioannis K. | |
| dc.date.accessioned | 2020-05-03T20:54:32Z | |
| dc.date.accessioned | 2025-09-18T16:08:03Z | |
| dc.date.available | 2020-05-03T20:54:32Z | |
| dc.date.available | 2025-09-18T16:08:03Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | In this article, we study a boundary value problem of a class of linear singular systems of fractional nabla difference equations whose coefficients are constant matrices. By taking into consideration the cases that the matrices are square with the leading coefficient matrix singular, square with an identically zero matrix pencil and non-square, we provide necessary and sufficient conditions for the existence and uniqueness of solutions. More analytically, we study the conditions under which the boundary value problem has a unique solution, infinite solutions and no solutions. Furthermore, we provide a formula for the case of the unique solution. Finally, numerical examples are given to justify our theory. | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Dassios, Ioannis K., "On A Singular System of Fractional Nabla Difference Equations With Boundary Conditions", Boundary Value Problems, (2013). | en_US |
| dc.identifier.doi | 10.1186/1687-2770-2013-148 | |
| dc.identifier.issn | 1687-2770 | |
| dc.identifier.scopus | 2-s2.0-84884249455 | |
| dc.identifier.uri | https://doi.org/10.1186/1687-2770-2013-148 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14947 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springeropen | en_US |
| dc.relation.ispartof | Boundary Value Problems | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Boundary Conditions | en_US |
| dc.subject | Singular Systems | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Nabla Operator | en_US |
| dc.subject | Difference Equations | en_US |
| dc.subject | Linear | en_US |
| dc.subject | Discrete Time System | en_US |
| dc.title | On a Singular System of Fractional Nabla Difference Equations With Boundary Conditions | en_US |
| dc.title | On A Singular System of Fractional Nabla Difference Equations With Boundary Conditions | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Dassios, Ioannis/G-8112-2011 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Dassios, Ioannis K.] Univ Edinburgh, Sch Math, Edinburgh EH9 3JZ, Midlothian, Scotland; [Dassios, Ioannis K.] Univ Edinburgh, Maxwell Inst, Edinburgh EH9 3JZ, Midlothian, Scotland; [Baleanu, Dumitru I.] Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey; [Baleanu, Dumitru I.] Inst Space Sci, Bucharest, Romania; [Baleanu, Dumitru I.] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21413, Saudi Arabia | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.oaire.keywords | Matrix (chemical analysis) | |
| gdc.oaire.keywords | Geometry | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
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| gdc.oaire.keywords | Numerical methods for difference equations | |
| gdc.oaire.keywords | Discrete version of topics in analysis | |
| gdc.oaire.keywords | Additive difference equations | |
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