Qualitative theory and approximate solution to a dynamical system under modified type Caputo-Fabrizio derivative

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dc.contributor.authorÊEiman Ê
dc.contributor.authorSaowaluck Chasreechai
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.authorM.A. El-Shorbagy
dc.contributor.authorMuhammad Sohail
dc.contributor.authorUbaid Ullah
dc.contributor.authorMati Ur Rahman
dc.contributor.correspondenceT. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin.sit@dusit.ac.th; M.U. Rahman; School of Mathematical Science, Shanghai Jiao Tong University, Shanghai, China; email: mati-maths374@sjtu.edu.cn
dc.date.accessioned2025-03-10T07:35:06Z
dc.date.available2025-03-10T07:35:06Z
dc.date.issued2022
dc.description.abstractQualitative theory, together with approximate solutions to a dynamic system, are investigated. The proposed mathematical model is composed of protected, susceptible, infected and treated classes. The adopted model expresses the mechanism of disease due to Typhoid fever. A modified type Caputo-Fabrizio fractional derivative (CFFD) is considered for the intended results. With the help of fixed point theory, some sufficient conditions for the existence of approximate solutions are developed. Also, to compute an approximate solution with respect to each compartment, we utilize the Laplace Transform and the Adomian decomposition method (ADM). A graphical presentation corresponding to some fundamental data is given. © 2022 the Author(s), licensee AIMS Press.
dc.identifier.citationAIMS Mathematics
dc.identifier.doi10.3934/math.2022792
dc.identifier.issn24736988
dc.identifier.scopus2-s2.0-85131298098
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4636
dc.languageEnglish
dc.publisherAmerican Institute of Mathematical Sciences
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectADM
dc.subjectapproximate solution
dc.subjectCFFD
dc.subjectdynamical system
dc.titleQualitative theory and approximate solution to a dynamical system under modified type Caputo-Fabrizio derivative
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85131298098&doi=10.3934%2fmath.2022792&partnerID=40&md5=10a03d5871e34ba3db8695fbbf03ab7f
oaire.citation.endPage14393
oaire.citation.issue8
oaire.citation.startPage14376
oaire.citation.volume7
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