A fractional-order differential equation model of diabetes mellitus type
Diabetes Mellitus is a metabolic disorder that occurs when the sugar level in blood is not proper. Diabetes is classified into many types and this classification is based upon the etiology of the disease. This disease is classified into three main types: Type 1 Diabetes Mellitus (T1DM), Type 2 Diabe...
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| Language: | English |
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World Scientific Publishing
2024-12-01
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| Series: | International Journal of Mathematics for Industry |
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| Online Access: | https://www.worldscientific.com/doi/10.1142/S2661335224500011 |
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| author | Shikha Dadhich Mahaveer Prasad Yadav Kritika |
| author_facet | Shikha Dadhich Mahaveer Prasad Yadav Kritika |
| author_sort | Shikha Dadhich |
| collection | DOAJ |
| description | Diabetes Mellitus is a metabolic disorder that occurs when the sugar level in blood is not proper. Diabetes is classified into many types and this classification is based upon the etiology of the disease. This disease is classified into three main types: Type 1 Diabetes Mellitus (T1DM), Type 2 Diabetes Mellitus (T2DM) and Gestational Diabetes Mellitus (GDM). In this paper, our aim is to present a model of Diabetes Mellitus Type [Formula: see text] by considering treatment and genetic factors. We have formulated the model for the epidemic problem. Here, a numerical algorithm based on Fractional Homotopy Analysis Transform Method (FHATM) is constituted to study the fractional form of the model for Diabetes Mellitus Type [Formula: see text]. The suggested technique is obtained by merging the homotopy analysis, Laplace transform and the homotopy polynomials. The convergence and uniqueness of the solution are also discussed and results are also presented. |
| format | Article |
| id | doaj-art-197113aa67fe4c258dad53f93d8a9269 |
| institution | OA Journals |
| issn | 2661-3352 2661-3344 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | International Journal of Mathematics for Industry |
| spelling | doaj-art-197113aa67fe4c258dad53f93d8a92692025-08-20T01:57:20ZengWorld Scientific PublishingInternational Journal of Mathematics for Industry2661-33522661-33442024-12-0116Supp0110.1142/S2661335224500011A fractional-order differential equation model of diabetes mellitus typeShikha Dadhich0Mahaveer Prasad Yadav1Kritika2Department of Mathematics, Amity University Rajasthan, Jaipur 302017, IndiaDepartment of Mathematics, Amity University Rajasthan, Jaipur 302017, IndiaDepartment of Mathematics, Government Polytechnic College, Sikar 332021, IndiaDiabetes Mellitus is a metabolic disorder that occurs when the sugar level in blood is not proper. Diabetes is classified into many types and this classification is based upon the etiology of the disease. This disease is classified into three main types: Type 1 Diabetes Mellitus (T1DM), Type 2 Diabetes Mellitus (T2DM) and Gestational Diabetes Mellitus (GDM). In this paper, our aim is to present a model of Diabetes Mellitus Type [Formula: see text] by considering treatment and genetic factors. We have formulated the model for the epidemic problem. Here, a numerical algorithm based on Fractional Homotopy Analysis Transform Method (FHATM) is constituted to study the fractional form of the model for Diabetes Mellitus Type [Formula: see text]. The suggested technique is obtained by merging the homotopy analysis, Laplace transform and the homotopy polynomials. The convergence and uniqueness of the solution are also discussed and results are also presented.https://www.worldscientific.com/doi/10.1142/S2661335224500011DiabetessusceptibleexposedinfectedLaplace transformhomotopy analysis |
| spellingShingle | Shikha Dadhich Mahaveer Prasad Yadav Kritika A fractional-order differential equation model of diabetes mellitus type International Journal of Mathematics for Industry Diabetes susceptible exposed infected Laplace transform homotopy analysis |
| title | A fractional-order differential equation model of diabetes mellitus type |
| title_full | A fractional-order differential equation model of diabetes mellitus type |
| title_fullStr | A fractional-order differential equation model of diabetes mellitus type |
| title_full_unstemmed | A fractional-order differential equation model of diabetes mellitus type |
| title_short | A fractional-order differential equation model of diabetes mellitus type |
| title_sort | fractional order differential equation model of diabetes mellitus type |
| topic | Diabetes susceptible exposed infected Laplace transform homotopy analysis |
| url | https://www.worldscientific.com/doi/10.1142/S2661335224500011 |
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