Regarding on the Fractional Mathematical Model of Tumour Invasion and Metastasis
Yazarlar (5)
P. Veeresha Christ University, Hindistan
Doç. Dr. Esin İLHAN Kırşehir Ahi Evran Üniversitesi, Türkiye
D. G. Prakasha
Davangere University, Hindistan
Davangere University, Hindistan
Prof. Dr. Hacı Mehmet Başkonuş Harran Üniversitesi, Türkiye
Wei Gao Yunnan Normal University, Çin
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | CMES Computer Modeling in Engineering and Sciences (Q3) | ||
| Dergi ISSN | 1526-1492 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2021 |
| Kabul Tarihi | 09-02-2021 | Yayınlanma Tarihi | 01-01-2021 |
| Cilt / Sayı / Sayfa | 127 / 3 / 1013–1036 | DOI | 10.32604/cmes.2021.014988 |
| Makale Linki | http://dx.doi.org/10.32604/cmes.2021.014988 | ||
| Özet |
| In this paper, we analyze the behaviour of solution for the system exemplifying model of tumour invasion and metastasis by the help of q-homotopy analysis transform method (q-HATM) with the fractional operator. The analyzed model consists of a system of three nonlinear differential equations elucidating the activation and the migratory response of the degradation of the matrix, tumour cells and production of degradative enzymes by the tumour cells. The considered method is graceful amalgamations of q-homotopy analysis technique with Laplace transform (LT), and Caputo–Fabrizio (CF) fractional operator is hired in the present study. By using the fixed point theory, existence and uniqueness are demonstrated. To validate and present the effectiveness of the considered algorithm, we analyzed the considered system in terms of fractional order with time and space. The error analysis of the considered scheme is … |
| Anahtar Kelimeler |
| Caputo-Fabrizio derivative | Invasion and metastasis | Q-homotopy analysis transform method | Tumour cell |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 27 |
| Scopus | 30 |
| Google Scholar | 35 |