Collocation Methods for Fractional Differential Equations Involving Non-Singular Kernel
| dc.contributor.author | Shiri, B. | |
| dc.contributor.author | Baleanu, D. | |
| dc.date.accessioned | 2020-03-18T13:48:45Z | |
| dc.date.accessioned | 2025-09-18T12:05:25Z | |
| dc.date.available | 2020-03-18T13:48:45Z | |
| dc.date.available | 2025-09-18T12:05:25Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | A system of fractional differential equations involving non-singular Mittag-Leffler kernel is considered. This system is transformed to a type of weakly singular integral equations in which the weak singular kernel is involved with both the unknown and known functions. The regularity and existence of its solution is studied. The collocation methods on discontinuous piecewise polynomial space are considered. The convergence and superconvergence properties of the introduced methods are derived on graded meshes. Numerical results provided to show that our theoretical convergence bounds are often sharp and the introduced methods are efficient. Some comparisons and applications are discussed. (C) 2018 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.citation | Baleanu, D.; Shiri, B., "Collocation methods for fractional differential equations involving non-singular kernel", Chaos Solitons & Fractals, Vol. 116, pp. 136-145, (2018). | en_US |
| dc.identifier.doi | 10.1016/j.chaos.2018.09.020 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 1873-2887 | |
| dc.identifier.scopus | 2-s2.0-85053805425 | |
| dc.identifier.uri | https://doi.org/10.1016/j.chaos.2018.09.020 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10610 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Chaos, Solitons & Fractals | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | System Of Fractional Differential Equations | en_US |
| dc.subject | Discontinuous Piecewise Polynomial Spaces | en_US |
| dc.subject | Operational Matrices | en_US |
| dc.subject | Mittag-Leffler Function | en_US |
| dc.subject | Collocation Methods | en_US |
| dc.subject | Diffusion Equations | en_US |
| dc.title | Collocation Methods for Fractional Differential Equations Involving Non-Singular Kernel | en_US |
| dc.title | Collocation methods for fractional differential equations involving non-singular kernel | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Shiri, Babak/T-7172-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, D.] Hohai Univ, Inst Soft Matter Mech, Dept Engn Mech, Nanjing 210098, Jiangsu, Peoples R China; [Baleanu, D.] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Magurele, Romania; [Shiri, B.] Univ Tabriz, Fac Math Sci, Tabriz, Iran | en_US |
| gdc.description.endpage | 145 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 136 | en_US |
| gdc.description.volume | 116 | en_US |
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| gdc.oaire.keywords | Mittag-Leffler function | |
| gdc.oaire.keywords | system of fractional differential equations | |
| gdc.oaire.keywords | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations | |
| gdc.oaire.keywords | collocation methods | |
| gdc.oaire.keywords | Finite difference methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | discontinuous piecewise polynomial spaces | |
| gdc.oaire.keywords | Numerical methods for functional-differential equations | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | operational matrices | |
| gdc.oaire.keywords | diffusion equations | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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