Simpson's Method for Fractional Differential Equations With a Non-Singular Kernel Applied To a Chaotic Tumor Model
| dc.contributor.author | Defterli, Ozlem | |
| dc.contributor.author | Tang, Yifa | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Arshad, Sadia | |
| dc.contributor.author | Saleem, Iram | |
| dc.date.accessioned | 2023-01-04T08:28:30Z | |
| dc.date.accessioned | 2025-09-18T12:06:09Z | |
| dc.date.available | 2023-01-04T08:28:30Z | |
| dc.date.available | 2025-09-18T12:06:09Z | |
| dc.date.issued | 2021 | |
| dc.description | Arshad, Sadia/0000-0001-9085-5915 | en_US |
| dc.description.abstract | This manuscript is devoted to describing a novel numerical scheme to solve differential equations of fractional order with a non-singular kernel namely, Caputo-Fabrizio. First, we have transformed the fractional order differential equation to the corresponding integral equation, then the fractional integral equation is approximated by using the Simpson's quadrature 3/8 rule. The stability of the proposed numerical scheme and its convergence is analyzed. Further, a cancer growth Caputo-Fabrizio model is solved using the newly proposed numerical method. Moreover, the numerical results are provided for different values of the fractional-order within some special cases of model parameters. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TUBTAK) | en_US |
| dc.description.sponsorship | This research is partially supported by the Scientific and Technological Research Council of Turkey (TUBTAK). | en_US |
| dc.identifier.citation | Arshad, Sadia...et al. (2021). "Simpson's method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model", PHYSICA SCRIPTA, Vol. 96, No. 12. | en_US |
| dc.identifier.doi | 10.1088/1402-4896/ac1e5a | |
| dc.identifier.issn | 0031-8949 | |
| dc.identifier.issn | 1402-4896 | |
| dc.identifier.scopus | 2-s2.0-85115176054 | |
| dc.identifier.uri | https://doi.org/10.1088/1402-4896/ac1e5a | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10828 | |
| dc.language.iso | en | en_US |
| dc.publisher | Iop Publishing Ltd | en_US |
| dc.relation.ispartof | Physica Scripta | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Operator With The Non-Singular Kernel | en_US |
| dc.subject | Numerical Approximation | en_US |
| dc.subject | Stability Analysis | en_US |
| dc.subject | Convergence Analysis | en_US |
| dc.subject | Tumor Model | en_US |
| dc.subject | Chaos | en_US |
| dc.title | Simpson's Method for Fractional Differential Equations With a Non-Singular Kernel Applied To a Chaotic Tumor Model | en_US |
| dc.title | Simpson's method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Arshad, Sadia/0000-0001-9085-5915 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Defterli, Ozlem/Aah-2521-2020 | |
| gdc.author.wosid | Arshad, Sadia/Aan-3684-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Arshad, Sadia; Saleem, Iram] COMSATS Univ Islamabad, Lahore Campus, Lahore 54000, Pakistan; [Defterli, Ozlem; Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkey; [Tang, Yifa] Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania | en_US |
| gdc.description.issue | 12 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 124019 | |
| gdc.description.volume | 96 | en_US |
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| gdc.virtual.author | Defterli, Özlem | |
| gdc.virtual.author | Baleanu, Dumitru | |
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