| Yazarlar |
Doç. Dr. Hatıra GÜNERHAN
Kafkas Üniversitesi, Türkiye |
Muhammed Yiğider
Türkiye |
|
Jalil Manafian
Türkiye |
|
Onur Alp İlhan
Erciyes Üniversitesi, Türkiye |
| Özet |
| In this study, a nonlinear fractional logistic equations is proposed in the context of a modified form of the conformable fractional-order derivative. The analytical and approximate-analytical solutions are obtained for the proposed mathematical model via the method of conformable fractional differential transform method (CFDTM) and all obtained results have been analyzed and compared with homotopy perturbation method (HPM). With plotting the figures, we compared the CFDTM, HPM, and exact solution together and conclude that the CFDTM solution is closer than the exact solution in comparison with the HPM. The methods are illustrated by two examples of FOLE and solution is obtained. All obtained solutions have been analyzed and compared graphically to validate the effiency and applicability of all results. |
| Anahtar Kelimeler |
| 35A20 | 35A24 | 35A25 | 35B10 | 70K50 | Approximate solution | Caputo fractional derivative | Conformable fractional differential transform method | Fast convergent series | Fractional order logistic equations |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | ESCI dergilerinde yayımlanan tam makale |
| Dergi Adı | Journal of Interdisciplinary Mathematics |
| Dergi ISSN | 0972-0502 |
| Dergi Tarandığı Indeksler | ESCI (Web of Science), Scopus |
| Makale Dili | Türkçe |
| Basım Tarihi | 01-2021 |
| Cilt No | 24 |
| Sayı | 5 |
| Sayfalar | 1 / 14 |
| Doi Numarası | 10.1080/09720502.2021.1918319 |
| Makale Linki | http://dx.doi.org/10.1080/09720502.2021.1918319 |
