Nonlinear Higher Order Fractional Terminal Value Problems
| dc.contributor.author | Shiri, Babak | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2024-04-25T07:44:06Z | |
| dc.date.accessioned | 2025-09-18T15:43:13Z | |
| dc.date.available | 2024-04-25T07:44:06Z | |
| dc.date.available | 2025-09-18T15:43:13Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | Terminal value problems for systems of fractional differential equations are studied with an especial focus on higher-order systems. Discretized piecewise polynomial collocation methods are used for approximating the exact solution. This leads to solving a system of nonlinear equations. For solving such a system an iterative method with a required tolerance is introduced and analyzed. The existence of a unique solution is guaranteed with the aid of the fixed point theorem. Order of convergence for the given numerical method is obtained. Numerical experiments are given to support theoretical results. | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Shiri, Babak. (2022). "Nonlinear higher order fractional terminal value problems", AIMS Mathematics, Vol.7, No.5, pp.7489-7506. | en_US |
| dc.identifier.doi | 10.3934/math.2022420 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85124415544 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2022420 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13892 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Terminal Value Problems | en_US |
| dc.subject | Systems Of Fractional Differential Equations | en_US |
| dc.subject | Existence | en_US |
| dc.subject | Regularity | en_US |
| dc.subject | Weakly Singular Volterra And Fredholm Integral Equations | en_US |
| dc.subject | Piecewise Polynomials Collocation Methods | en_US |
| dc.title | Nonlinear Higher Order Fractional Terminal Value Problems | en_US |
| dc.title | Nonlinear higher order fractional terminal value problems | 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, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] China Med Univ, Dept Med Res, China Med Univ Hosp, Taichung, Taiwan; [Shiri, Babak] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China | en_US |
| gdc.description.endpage | 7506 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 7489 | en_US |
| gdc.description.volume | 7 | en_US |
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| gdc.oaire.keywords | systems of fractional differential equations | |
| gdc.oaire.keywords | weakly singular volterra and fredholm integral equations | |
| gdc.oaire.keywords | regularity | |
| gdc.oaire.keywords | existence | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | terminal value problems | |
| gdc.oaire.keywords | piecewise polynomials collocation methods | |
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