Caputo and Related Fractional Derivatives in Singular Systems
| dc.contributor.author | Baleanu, Dumitru, I | |
| dc.contributor.author | Dassios, Ioannis K. | |
| dc.date.accessioned | 2020-03-18T13:48:38Z | |
| dc.date.accessioned | 2025-09-18T14:09:46Z | |
| dc.date.available | 2020-03-18T13:48:38Z | |
| dc.date.available | 2025-09-18T14:09:46Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | By using the Caputo (C) fractional derivative and two recently defined alternative versions of this derivative, the Caputo-Fabrizio (CF) and the Atangana-Baleanu (AB) fractional derivative, firstly we focus on singular linear systems of fractional differential equations with constant coefficients that can be non-square matrices, or square & singular. We study existence of solutions and provide formulas for the case that there do exist solutions. Then, we study the existence of unique solution for given initial conditions. Several numerical examples are given to justify our theory. (C) 2018 Elsevier Inc. All rights reserved. | en_US |
| dc.description.sponsorship | Science Foundation Ireland (SFI) under the SFI Strategic Partnership Programme [SFI/15/SPP/E3125] | en_US |
| dc.description.sponsorship | Ioannis Dassios is supported by Science Foundation Ireland (SFI) under the SFI Strategic Partnership Programme Grant Number SFI/15/SPP/E3125. The opinions, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the Science Foundation Ireland. | en_US |
| dc.identifier.citation | Dassios, Ioannis K.; Baleanu, Dumitru, I, "Caputo and related fractional derivatives in singular systems", Applied Mathematics and Computation, Vol. 337, pp. 591-606, (2018). | en_US |
| dc.identifier.doi | 10.1016/j.amc.2018.05.005 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.issn | 1873-5649 | |
| dc.identifier.scopus | 2-s2.0-85048744987 | |
| dc.identifier.uri | https://doi.org/10.1016/j.amc.2018.05.005 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13471 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science inc | en_US |
| dc.relation.ispartof | Applied Mathematics and Computation | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Singular | en_US |
| dc.subject | Systems | en_US |
| dc.subject | Fractional | en_US |
| dc.subject | Derivative | en_US |
| dc.subject | Caputo | en_US |
| dc.subject | Initial Conditions | en_US |
| dc.title | Caputo and Related Fractional Derivatives in Singular Systems | en_US |
| dc.title | Caputo and related fractional derivatives in singular systems | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Dassios, Ioannis K.] Univ Coll Dublin, ESIPP, Dublin, Ireland; [Baleanu, Dumitru, I] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru, I] Inst Space Sci, Bucharest, Romania | en_US |
| gdc.description.endpage | 606 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 591 | en_US |
| gdc.description.volume | 337 | en_US |
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| gdc.oaire.keywords | Caputo | |
| gdc.oaire.keywords | Fractional | |
| gdc.oaire.keywords | Initial conditions | |
| gdc.oaire.keywords | Systems | |
| gdc.oaire.keywords | Singular | |
| gdc.oaire.keywords | Derivative | |
| gdc.oaire.keywords | fractional derivative | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | initial conditions | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Linear systems in control theory | |
| gdc.oaire.keywords | singular systems | |
| gdc.oaire.keywords | Discrete version of topics in analysis | |
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