Analysis of Logistic Equation Pertaining To a New Fractional Derivative With Non-Singular Kernel
| dc.contributor.author | Singh, Jagdev | |
| dc.contributor.author | Al Qurashi, Maysaa | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Kumar, Devendra | |
| dc.date.accessioned | 2019-12-16T13:29:00Z | |
| dc.date.accessioned | 2025-09-18T12:06:01Z | |
| dc.date.available | 2019-12-16T13:29:00Z | |
| dc.date.available | 2025-09-18T12:06:01Z | |
| dc.date.issued | 2017 | |
| dc.description | Kumar, Devendra/0000-0003-4249-6326 | en_US |
| dc.description.abstract | In this work, we aim to analyze the logistic equation with a new derivative of fractional order termed in Caputo-Fabrizio sense. The logistic equation describes the population growth of species. The existence of the solution is shown with the help of the fixed-point theory. A deep analysis of the existence and uniqueness of the solution is discussed. The numerical simulation is conducted with the help of the iterative technique. Some numerical simulations are also given graphically to observe the effects of the fractional order derivative on the growth of population. | en_US |
| dc.description.sponsorship | International Scientific Partnership Program ISPP at King Saud University through ISPP [63] | en_US |
| dc.description.sponsorship | The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: The authors extend their appreciation to the International Scientific Partnership Program ISPP at King Saud University for funding this research work through ISPP#63. | en_US |
| dc.identifier.citation | Kumar, Devendra...et al. (2017). Analysis of logistic equation pertaining to a new fractional derivative with non-singular kernel, Advances in Mechanical Engineering, 9(2). | en_US |
| dc.identifier.doi | 10.1177/1687814017690069 | |
| dc.identifier.issn | 1687-8140 | |
| dc.identifier.issn | 1687-8132 | |
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| dc.identifier.uri | https://doi.org/10.1177/1687814017690069 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10780 | |
| dc.language.iso | en | en_US |
| dc.publisher | Sage Publications Ltd | en_US |
| dc.relation.ispartof | Advances in Mechanical Engineering | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Logistic Equation | en_US |
| dc.subject | Nonlinear Equation | en_US |
| dc.subject | Caputo-Fabrizio Fractional Derivative | en_US |
| dc.subject | Uniqueness | en_US |
| dc.subject | Fixed-Point Theorem | en_US |
| dc.title | Analysis of Logistic Equation Pertaining To a New Fractional Derivative With Non-Singular Kernel | en_US |
| dc.title | Analysis of logistic equation pertaining to a new fractional derivative with non-singular kernel | tr_TR |
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| gdc.author.wosid | Singh, Jagdev/Aac-1015-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Kumar, Devendra/B-9638-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Kumar, Devendra; Singh, Jagdev] JECRC Univ, Dept Math, Jaipur 303905, Rajasthan, India; [Al Qurashi, Maysaa] King Saud Univ, Dept Math, Coll Sci, Riyadh, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Etimesgut, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.oaire.keywords | Financial economics | |
| gdc.oaire.keywords | Fractional Differential Equations | |
| gdc.oaire.keywords | Economics | |
| gdc.oaire.keywords | Population | |
| gdc.oaire.keywords | Logistic function | |
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