Investigation of Fractional Order Dynamics of Tuberculosis under Caputo Operator
dc.contributor.author | Ullah, Ihsan | |
dc.contributor.author | Ahmad, Saeed | |
dc.contributor.author | Arfan, Muhammad | |
dc.contributor.author | De la Sen Parte, Manuel ![]() | |
dc.date.accessioned | 2023-04-28T13:31:03Z | |
dc.date.available | 2023-04-28T13:31:03Z | |
dc.date.issued | 2023-03-29 | |
dc.identifier.citation | Fractal and Fractional 7(4) : (2023) // Article ID 300 | es_ES |
dc.identifier.issn | 2504-3110 | |
dc.identifier.uri | http://hdl.handle.net/10810/60972 | |
dc.description.abstract | In this article, a new deterministic disease system is constructed to study the influence of treatment adherence as well as awareness on the spread of tuberculosis (TB). The suggested model is composed of six various classes, whose dynamics are discussed in the sense of the Caputo fractional operator. Firstly the model existence of a solution along with a unique solution is checked to determine whether the system has a solution or not. The stability of a solution is also important, so we use the Ulam–Hyers concept of stability. The approximate solution analysis is checked by the technique of Laplace transformation using the Adomian decomposition concept. Such a solution is in series form which is decomposed into smaller terms and the next term is obtained from the previous one. The numerical simulation is established for the obtained schemes using different fractional orders along with a comparison of classical derivatives. Such an analysis will be helpful for testing more dynamics instead of only one type of integer order discussion. | es_ES |
dc.description.sponsorship | The authors are thankful to the Basque Government for financial support under grant: Basque Government, Grant IT1555-22; Basque Government, Grant KK-2022/00090; MCIN/AEI 269.10.13039/501100011033, Grant PID2021-1235430B-C21; MCIN/AEI 269.10.13039/501100011033, Grant PID 2021-1235430B-C22. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.relation | info:eu-repo/grantAgreement/MICINN/PID2021-1235430B-C21 | es_ES |
dc.relation | info:eu-repo/grantAgreement/MICINN/PID2021-1235430B-C22 | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | dynamical system | es_ES |
dc.subject | tuberculosis | es_ES |
dc.subject | Laplace decomposition technique | es_ES |
dc.subject | Adomian polynomial | es_ES |
dc.subject | Caputo derivative | es_ES |
dc.title | Investigation of Fractional Order Dynamics of Tuberculosis under Caputo Operator | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2023-04-27T13:51:02Z | |
dc.rights.holder | © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/). | es_ES |
dc.relation.publisherversion | https://www.mdpi.com/2504-3110/7/4/300 | es_ES |
dc.identifier.doi | 10.3390/fractalfract7040300 | |
dc.departamentoes | Electricidad y electrónica | |
dc.departamentoeu | Elektrizitatea eta elektronika |
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Except where otherwise noted, this item's license is described as © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).