A hybrid fractional model for cervical cancer due to human papillomavirus infection
Numerous scientific and engineering applications exist for thermofluids. The primary cause of cervical cancer is the human papillomavirus (HPV), and thermos-fluid is crucial for identifying, treating, and understanding the cancerous phenomenon. In this work, a hybrid fractional order mathematical mo...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-03-01
|
| Series: | International Journal of Thermofluids |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666202725000461 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1825199396957978624 |
|---|---|
| author | Ali Akgül Nauman Ahmed Sadiya Ali Rano Qasem Al-Mdallal |
| author_facet | Ali Akgül Nauman Ahmed Sadiya Ali Rano Qasem Al-Mdallal |
| author_sort | Ali Akgül |
| collection | DOAJ |
| description | Numerous scientific and engineering applications exist for thermofluids. The primary cause of cervical cancer is the human papillomavirus (HPV), and thermos-fluid is crucial for identifying, treating, and understanding the cancerous phenomenon. In this work, a hybrid fractional order mathematical model of cervical cancer with modified parameters is studied. The proposed model consists of three fractional order nonlinear differential equations. The Grünwald Letnikov method is used to approximate the hybrid operator. A nonstandard finite difference scheme for the GL approximation is obtained to study the proposed model. Stability analysis of the used method is given, existence and uniqueness of solution to the hybrid model are given. Comparative studies between the two schemes is given. Convergence of the state variables is also shown to converge to true equilibrium points according to the stability conditions of the reproductive number. The effect of the order of fractional derivatives can also be observed in the simulations. In the end, concluding remarks are also given in the conclusion section that reflect the whole current research. |
| format | Article |
| id | doaj-art-1e899a7677a246ababfcda83f5abacaf |
| institution | Kabale University |
| issn | 2666-2027 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | International Journal of Thermofluids |
| spelling | doaj-art-1e899a7677a246ababfcda83f5abacaf2025-02-08T05:01:16ZengElsevierInternational Journal of Thermofluids2666-20272025-03-0126101098A hybrid fractional model for cervical cancer due to human papillomavirus infectionAli Akgül0Nauman Ahmed1Sadiya Ali Rano2Qasem Al-Mdallal3Department of Electronics and Communication Engineering, Saveetha School of Engineering, Chennai, Tamilnadu, India; Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey; Department of Computer Engineering, Biruni University, 34010, Topkap, Istanbul, Turkey; Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, Nicosia/Mersin 10, PC: 99138, TurkeyDepartment of Mathematics and Statistics, The University of Lahore, Lahore, PakistanMathematical Sciences Department, Bayero University Kano, NigeriaDepartment of Mathematical Sciences, UAE University, P.O. Box 17551, Al-Ain, United Arab Emirates; Corresponding author.Numerous scientific and engineering applications exist for thermofluids. The primary cause of cervical cancer is the human papillomavirus (HPV), and thermos-fluid is crucial for identifying, treating, and understanding the cancerous phenomenon. In this work, a hybrid fractional order mathematical model of cervical cancer with modified parameters is studied. The proposed model consists of three fractional order nonlinear differential equations. The Grünwald Letnikov method is used to approximate the hybrid operator. A nonstandard finite difference scheme for the GL approximation is obtained to study the proposed model. Stability analysis of the used method is given, existence and uniqueness of solution to the hybrid model are given. Comparative studies between the two schemes is given. Convergence of the state variables is also shown to converge to true equilibrium points according to the stability conditions of the reproductive number. The effect of the order of fractional derivatives can also be observed in the simulations. In the end, concluding remarks are also given in the conclusion section that reflect the whole current research.http://www.sciencedirect.com/science/article/pii/S2666202725000461Hybrid fractional operatorGrünwald Letnikov approximationNSFD scheme |
| spellingShingle | Ali Akgül Nauman Ahmed Sadiya Ali Rano Qasem Al-Mdallal A hybrid fractional model for cervical cancer due to human papillomavirus infection International Journal of Thermofluids Hybrid fractional operator Grünwald Letnikov approximation NSFD scheme |
| title | A hybrid fractional model for cervical cancer due to human papillomavirus infection |
| title_full | A hybrid fractional model for cervical cancer due to human papillomavirus infection |
| title_fullStr | A hybrid fractional model for cervical cancer due to human papillomavirus infection |
| title_full_unstemmed | A hybrid fractional model for cervical cancer due to human papillomavirus infection |
| title_short | A hybrid fractional model for cervical cancer due to human papillomavirus infection |
| title_sort | hybrid fractional model for cervical cancer due to human papillomavirus infection |
| topic | Hybrid fractional operator Grünwald Letnikov approximation NSFD scheme |
| url | http://www.sciencedirect.com/science/article/pii/S2666202725000461 |
| work_keys_str_mv | AT aliakgul ahybridfractionalmodelforcervicalcancerduetohumanpapillomavirusinfection AT naumanahmed ahybridfractionalmodelforcervicalcancerduetohumanpapillomavirusinfection AT sadiyaalirano ahybridfractionalmodelforcervicalcancerduetohumanpapillomavirusinfection AT qasemalmdallal ahybridfractionalmodelforcervicalcancerduetohumanpapillomavirusinfection AT aliakgul hybridfractionalmodelforcervicalcancerduetohumanpapillomavirusinfection AT naumanahmed hybridfractionalmodelforcervicalcancerduetohumanpapillomavirusinfection AT sadiyaalirano hybridfractionalmodelforcervicalcancerduetohumanpapillomavirusinfection AT qasemalmdallal hybridfractionalmodelforcervicalcancerduetohumanpapillomavirusinfection |