Comparative study of tuberculosis infection by using general fractional derivative
The current study examined the general fractional derivative of the fractional order in the context of an incomplete treatment of tuberculosis (TB). Utilizing the fixed-point technique and nonlinear analysis, we arrived at certain theoretical conclusions on the existence and stability of the solutio...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2025-01-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025058 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850067725489012736 |
|---|---|
| author | Manvendra Narayan Mishra Faten Aldosari |
| author_facet | Manvendra Narayan Mishra Faten Aldosari |
| author_sort | Manvendra Narayan Mishra |
| collection | DOAJ |
| description | The current study examined the general fractional derivative of the fractional order in the context of an incomplete treatment of tuberculosis (TB). Utilizing the fixed-point technique and nonlinear analysis, we arrived at certain theoretical conclusions on the existence and stability of the solution. The well-known Laplace transform method was used to calculate the arithmetic output of the model under consideration. This approach depends upon an elementary principle of fractional calculus. For each case of general fractional derivative, numerical simulation was also provided, each one linked with a particular fractional order in (0, 1). |
| format | Article |
| id | doaj-art-c7987b8cb7d5428583437e452c9eaee8 |
| institution | DOAJ |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-c7987b8cb7d5428583437e452c9eaee82025-08-20T02:48:13ZengAIMS PressAIMS Mathematics2473-69882025-01-011011224124710.3934/math.2025058Comparative study of tuberculosis infection by using general fractional derivativeManvendra Narayan Mishra0Faten Aldosari1Department of Mathematics, Suresh Gyan Vihar University, Jaipur, Rajasthan, IndiaDepartment of Mathematics, College of Science, Shaqra University, P.O. Box 15572, Shaqra 11961, Saudi ArabiaThe current study examined the general fractional derivative of the fractional order in the context of an incomplete treatment of tuberculosis (TB). Utilizing the fixed-point technique and nonlinear analysis, we arrived at certain theoretical conclusions on the existence and stability of the solution. The well-known Laplace transform method was used to calculate the arithmetic output of the model under consideration. This approach depends upon an elementary principle of fractional calculus. For each case of general fractional derivative, numerical simulation was also provided, each one linked with a particular fractional order in (0, 1).https://www.aimspress.com/article/doi/10.3934/math.2025058tbtuberculosis diseasegeneralized derivativefractional operatorfixed point conditionlaplace transform |
| spellingShingle | Manvendra Narayan Mishra Faten Aldosari Comparative study of tuberculosis infection by using general fractional derivative AIMS Mathematics tb tuberculosis disease generalized derivative fractional operator fixed point condition laplace transform |
| title | Comparative study of tuberculosis infection by using general fractional derivative |
| title_full | Comparative study of tuberculosis infection by using general fractional derivative |
| title_fullStr | Comparative study of tuberculosis infection by using general fractional derivative |
| title_full_unstemmed | Comparative study of tuberculosis infection by using general fractional derivative |
| title_short | Comparative study of tuberculosis infection by using general fractional derivative |
| title_sort | comparative study of tuberculosis infection by using general fractional derivative |
| topic | tb tuberculosis disease generalized derivative fractional operator fixed point condition laplace transform |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025058 |
| work_keys_str_mv | AT manvendranarayanmishra comparativestudyoftuberculosisinfectionbyusinggeneralfractionalderivative AT fatenaldosari comparativestudyoftuberculosisinfectionbyusinggeneralfractionalderivative |