Fractional Order Mathematical Model of Serial Killing With Different Choices of Control Strategy
| dc.contributor.author | Ahmad, Shabir | |
| dc.contributor.author | Arfan, Muhammad | |
| dc.contributor.author | Akgul, Ali | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Rahman, Mati Ur | |
| dc.date.accessioned | 2024-03-27T12:35:00Z | |
| dc.date.accessioned | 2025-09-18T14:09:09Z | |
| dc.date.available | 2024-03-27T12:35:00Z | |
| dc.date.available | 2025-09-18T14:09:09Z | |
| dc.date.issued | 2022 | |
| dc.description | Ahmad, Shabir/0000-0002-5610-6248; Jarad, Fahd/0000-0002-3303-0623 | en_US |
| dc.description.abstract | The current manuscript describes the dynamics of a fractional mathematical model of serial killing under the Mittag-Leffler kernel. Using the fixed point theory approach, we present a qualitative analysis of the problem and establish a result that ensures the existence of at least one solution. Ulam's stability of the given model is presented by using nonlinear concepts. The iterative fractional-order Adams-Bashforth approach is being used to find the approximate solution. The suggested method is numerically simulated at various fractional orders. The simulation is carried out for various control strategies. Over time, all of the compartments demonstrate convergence and stability. Different fractional orders have produced an excellent comparison outcome, with low fractional orders achieving stability sooner. | en_US |
| dc.identifier.citation | Rahman, Mati Ur;...et.al. (2022). "Fractional Order Mathematical Model of Serial Killing with Different Choices of Control Strategy", Fractal and Fractional, Vol.6, No.3, pp.1-16. | en_US |
| dc.identifier.doi | 10.3390/fractalfract6030162 | |
| dc.identifier.issn | 2504-3110 | |
| dc.identifier.scopus | 2-s2.0-85127541594 | |
| dc.identifier.uri | https://doi.org/10.3390/fractalfract6030162 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13296 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Fractal and Fractional | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Adams-Bashforth Method | en_US |
| dc.subject | Fixed Point Theory | en_US |
| dc.subject | Serial Killing | en_US |
| dc.subject | Mittag-Leffler Kernel | en_US |
| dc.title | Fractional Order Mathematical Model of Serial Killing With Different Choices of Control Strategy | en_US |
| dc.title | Fractional Order Mathematical Model of Serial Killing with Different Choices of Control Strategy | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Ahmad, Shabir/0000-0002-5610-6248 | |
| gdc.author.id | Jarad, Fahd/0000-0002-3303-0623 | |
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| gdc.author.wosid | Rahman, Mati Ur/Aab-7278-2022 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Arfan, Muhammad/T-7715-2019 | |
| gdc.author.wosid | Akgül, Ali/F-3909-2019 | |
| gdc.author.wosid | Ahmad, Shabir/Aaj-8499-2021 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Rahman, Mati Ur] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China; [Ahmad, Shabir] Univ Malakand, Dept Math, Chakdara 18800, Pakistan; [Arfan, Muhammad] Govt Degree Coll Gulabad, Dept Math, Adenzai 25000, Pakistan; [Akgul, Ali] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Jarad, Fahd] King Abdulaziz Univ, Dept Math, POB 80257, Jeddah 21589, Saudi Arabia; [Jarad, Fahd] China Med Univ, Dept Med Res, Taichung 40402, Taiwan | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 162 | |
| gdc.description.volume | 6 | en_US |
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| gdc.oaire.keywords | Adams–Bashforth method; fixed point theory; serial killing; Mittag–Leffler kernel | |
| gdc.oaire.keywords | QA299.6-433 | |
| gdc.oaire.keywords | fixed point theory | |
| gdc.oaire.keywords | Adams–Bashforth method | |
| gdc.oaire.keywords | Mittag–Leffler kernel | |
| gdc.oaire.keywords | serial killing | |
| gdc.oaire.keywords | Mittag-Leffler kernel | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | Thermodynamics | |
| gdc.oaire.keywords | QC310.15-319 | |
| gdc.oaire.keywords | Adams-Bashforth method | |
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| gdc.virtual.author | Jarad, Fahd | |
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