Generalized Fractional Differential Equations for Past Dynamic
| dc.contributor.author | Shiri, Babak | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2024-03-28T12:45:33Z | |
| dc.date.accessioned | 2025-09-18T12:08:40Z | |
| dc.date.available | 2024-03-28T12:45:33Z | |
| dc.date.available | 2025-09-18T12:08:40Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | Well-posedness of the terminal value problem for nonlinear systems of generalized fractional differential equations is studied. The generalized fractional operator is formulated with a classical operator and a related weighted space. The terminal value problem is transformed into weakly singular Fredholm and Volterra integral equations with delay. A lower bound for the well-posedness of the corresponding problem is introduced. A collocation method covering all problems with generalized derivatives is introduced and analyzed. Illustrative examples for validation and application of the proposed methods are supported. The effects of various fractional derivatives on the solution, wellposedness, and fitting error are studied. An application for estimating the population of diabetes cases in the past is introduced. | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Shiri, B. (2022). "Generalized fractional differential equations for past dynamic", AIMS Mathematics, Vol.7, No.8, pp.14394-14418. | en_US |
| dc.identifier.doi | 10.3934/math.2022793 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85131533699 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2022793 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11173 | |
| 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 | Generalized Fractional Integral | en_US |
| dc.subject | System Of Generalized Fractional Differential Equations | en_US |
| dc.subject | Hadamard Fractional Operator | en_US |
| dc.subject | Katugampola Fractional Operator | en_US |
| dc.subject | Collocation Methods | en_US |
| dc.title | Generalized Fractional Differential Equations for Past Dynamic | en_US |
| dc.title | Generalized fractional differential equations for past dynamic | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Shiri, Babak/T-7172-2019 | |
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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 Hosp, Dept Med Res, China Med, 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 | 14418 | en_US |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 7 | en_US |
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| gdc.oaire.keywords | Fractional Differential Equations | |
| gdc.oaire.keywords | katugampola fractional operator | |
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| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
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| gdc.oaire.keywords | Fractional calculus | |
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