Terminal Value Problems for the Nonlinear Systems of Fractional Differential Equations
| dc.contributor.author | Wu, Guo-Cheng | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Shiri, Babak | |
| dc.date.accessioned | 2023-01-20T08:11:05Z | |
| dc.date.accessioned | 2025-09-18T12:08:22Z | |
| dc.date.available | 2023-01-20T08:11:05Z | |
| dc.date.available | 2025-09-18T12:08:22Z | |
| dc.date.issued | 2021 | |
| dc.description | Wu, Guo-Cheng/0000-0002-1946-6770 | en_US |
| dc.description.abstract | Terminal value problems of fractional nonlinear systems are studied in this paper. The existence and uniqueness are given. The regularity of the solution is obtained in the weighted spaces. Discretized piecewise polynomial collocation methods are proposed on the graded mesh. A convergence analysis and the order are presented. Numerical examples for supporting theoretical results and applications for population models are illustrated. (C) 2021 IMACS. Published by Elsevier B.V. All rights reserved. | en_US |
| dc.description.sponsorship | National Natural Science Foundation of China [62076141]; Sichuan Province Youth Science and Technology Innovation Team [2019JDTD0015] | en_US |
| dc.description.sponsorship | This study was financially supported by National Natural Science Foundation of China (Grant No. 62076141) and Sichuan Province Youth Science and Technology Innovation Team (Grant No. 2019JDTD0015) . | en_US |
| dc.identifier.citation | Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru (2021). "Terminal value problems for the nonlinear systems of fractional differential equations", Applied Numerical Mathematics, Vol. 170, pp. 162-178. | en_US |
| dc.identifier.doi | 10.1016/j.apnum.2021.06.015 | |
| dc.identifier.issn | 0168-9274 | |
| dc.identifier.issn | 1873-5460 | |
| dc.identifier.scopus | 2-s2.0-85112654768 | |
| dc.identifier.uri | https://doi.org/10.1016/j.apnum.2021.06.015 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11112 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Applied Numerical Mathematics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Terminal Value Problems | en_US |
| dc.subject | System Of Fractional Differential Equations | en_US |
| dc.subject | Discrete Collocation Methods | en_US |
| dc.subject | Piecewise Polynomials Spaces | en_US |
| dc.title | Terminal Value Problems for the Nonlinear Systems of Fractional Differential Equations | en_US |
| dc.title | Terminal value problems for the nonlinear systems of fractional differential equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Wu, Guo-Cheng/0000-0002-1946-6770 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Shiri, Babak/T-7172-2019 | |
| gdc.author.wosid | Wu, Guo-Cheng/T-9088-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Shiri, Babak; Wu, Guo-Cheng] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 178 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 162 | en_US |
| gdc.description.volume | 170 | en_US |
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| 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 | Volterra integral equations | |
| gdc.oaire.keywords | discrete collocation methods | |
| gdc.oaire.keywords | terminal value problems | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Numerical methods for integral equations | |
| gdc.oaire.keywords | Numerical methods for initial value problems involving ordinary differential equations | |
| gdc.oaire.keywords | piecewise polynomials spaces | |
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