A Class of Time-Fractional Dirac Type Operators
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Restrepo, Joel E. | |
| dc.contributor.author | Suragan, Durvudkhan | |
| dc.date.accessioned | 2022-02-11T11:51:34Z | |
| dc.date.accessioned | 2025-09-18T12:09:24Z | |
| dc.date.available | 2022-02-11T11:51:34Z | |
| dc.date.available | 2025-09-18T12:09:24Z | |
| dc.date.issued | 2021 | |
| dc.description | Suragan, Durvudkhan/0000-0003-4789-1982 | |
| dc.description | Suragan, Durvudkhan/0000-0003-4789-1982 | en_US |
| dc.description.abstract | By using a Witt basis, a new class of time-fractional Dirac type operators with time-variable coefficients is introduced. These operators lead to considering a wide range of fractional Cauchy problems. Solutions of the considered general fractional Cauchy problems are given explicitly. The representations of the solutions can be used efficiently for analytic and computational purposes. We apply the obtained representation of a solution to recover a variable coefficient solution of an inverse fractional Cauchy problem. Some concrete examples are given to show the diversity of the obtained results. (c) 2020 Elsevier Ltd. All rights reserved. | |
| dc.description.abstract | By using a Witt basis, a new class of time-fractional Dirac type operators with time-variable coefficients is introduced. These operators lead to considering a wide range of fractional Cauchy problems. Solutions of the considered general fractional Cauchy problems are given explicitly. The representations of the solutions can be used efficiently for analytic and computational purposes. We apply the obtained representation of a solution to recover a variable coefficient solution of an inverse fractional Cauchy problem. Some concrete examples are given to show the diversity of the obtained results. (c) 2020 Elsevier Ltd. All rights reserved. | en_US |
| dc.description.sponsorship | Nazarbayev University Program [091019CRP2120] | |
| dc.description.sponsorship | Nazarbayev University Program [091019CRP2120] | en_US |
| dc.description.sponsorship | The authors were supported by the Nazarbayev University Program 091019CRP2120. | |
| dc.description.sponsorship | The authors were supported by the Nazarbayev University Program 091019CRP2120. | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Restrepo, Joel E.; Suragan, Durvudkhan (2021). "A class of time-fractional Dirac type operators", Chaos Solitons & Fractals, Vol. 143. | en_US |
| dc.identifier.doi | 10.1016/j.chaos.2020.110590 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 1873-2887 | |
| dc.identifier.scopus | 2-s2.0-85098692690 | |
| dc.identifier.uri | https://doi.org/10.1016/j.chaos.2020.110590 | |
| dc.language.iso | en | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-Elsevier Science Ltd | |
| dc.publisher | Pergamon-Elsevier Science Ltd | en_US |
| dc.relation.ispartof | Chaos, Solitons & Fractals | |
| dc.relation.ispartof | Chaos Solitons & Fractals | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Integro-Differential Operator | en_US |
| dc.subject | Cauchy Problem | en_US |
| dc.subject | Time-Fractional Dirac Operators | en_US |
| dc.subject | Inverse Problem | en_US |
| dc.title | A Class of Time-Fractional Dirac Type Operators | en_US |
| dc.title | A class of time-fractional Dirac type operators | tr_TR |
| dc.title | A Class of Time-Fractional Dirac Type Operators | |
| dc.type | Article | |
| dc.type | Article | en_US |
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| gdc.author.id | Suragan, Durvudkhan/0000-0003-4789-1982 | |
| gdc.author.id | Suragan, Durvudkhan/0000-0003-4789-1982 | |
| gdc.author.wosid | Restrepo, Joel E./T-9519-2018 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Suragan, Durvudkhan/Hme-2534-2023 | |
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| gdc.description.department | Çankaya University | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Restrepo, Joel E.; Suragan, Durvudkhan] Nazarbayev Univ, Dept Math, Astana, Kazakhstan | |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Restrepo, Joel E.; Suragan, Durvudkhan] Nazarbayev Univ, Dept Math, Astana, Kazakhstan | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 143 | |
| gdc.description.volume | 143 | en_US |
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| gdc.oaire.keywords | Cauchy problem | |
| gdc.oaire.keywords | Inverse problems for PDEs | |
| gdc.oaire.keywords | fractional integro-differential operator | |
| gdc.oaire.keywords | inverse problem | |
| gdc.oaire.keywords | Integro-differential operators | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | time-fractional Dirac operators | |
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