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Mathematical Analysis of Tuberculosis Control Model Using Nonsingular Kernel Type Caputo Derivative

dc.contributor.author Ullah, Rafi
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Ahmad, Saeed
dc.date.accessioned 2022-06-16T08:04:02Z
dc.date.accessioned 2025-09-18T12:09:13Z
dc.date.available 2022-06-16T08:04:02Z
dc.date.available 2025-09-18T12:09:13Z
dc.date.issued 2021
dc.description.abstract This research work investigates some theoretical and semi-analytical results for the mathematical model of tuberculosis disease via derivative due to Caputo and Fabrizio. The concerned derivative involves exponential kernel and very recently it has been adapted for various applied problems. The required results are established by using some fixed point approach of Krasnoselskii and Banach. Further, by the use of iterative tools of Adomian decomposition and Laplace, the semi-analytical results are studied. Some graphical results are given with discussion. en_US
dc.identifier.citation Ahmad, Saeed; Ullah, Rafi; Baleanu, Dumitru (2021). "Mathematical analysis of tuberculosis control model using nonsingular kernel type Caputo derivative", Advances in Difference Equations, Vol. 2021, No. 1. en_US
dc.identifier.doi 10.1186/s13662-020-03191-x
dc.identifier.issn 1687-1847
dc.identifier.scopus 2-s2.0-85098846706
dc.identifier.uri https://doi.org/10.1186/s13662-020-03191-x
dc.identifier.uri https://hdl.handle.net/20.500.12416/11350
dc.language.iso en en_US
dc.publisher Springer en_US
dc.relation.ispartof Advances in Difference Equations
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Tuberculosis-(Tb) Mathematical Model en_US
dc.subject Natural Transforms en_US
dc.subject Approximate Solutions en_US
dc.subject Caputo-Fabrizio Fractional Order Derivative en_US
dc.subject Numerical Simulations en_US
dc.title Mathematical Analysis of Tuberculosis Control Model Using Nonsingular Kernel Type Caputo Derivative en_US
dc.title Mathematical analysis of tuberculosis control model using nonsingular kernel type Caputo derivative tr_TR
dc.type Article en_US
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gdc.author.wosid Ullah, Rafi/Mck-0016-2025
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Ahmad, Saeed; Ullah, Rafi] Univ Malakand, Dept Math, Chakdara Dir Lower, Khyber Pakhtunk, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan en_US
gdc.description.issue 1 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.volume 2021 en_US
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gdc.oaire.keywords Linearization
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gdc.oaire.keywords Theory and Applications of Fractional Differential Equations
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gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
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gdc.oaire.keywords Decomposition
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gdc.oaire.keywords Exponential function
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gdc.oaire.keywords Tuberculosis-(TB) mathematical model
gdc.oaire.keywords Control and Systems Engineering
gdc.oaire.keywords Modeling and Simulation
gdc.oaire.keywords Derivative (finance)
gdc.oaire.keywords FOS: Biological sciences
gdc.oaire.keywords Dentistry
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Kernel (algebra)
gdc.oaire.keywords Nonlinear system
gdc.oaire.keywords Medicine
gdc.oaire.keywords Adomian decomposition method
gdc.oaire.keywords Calculus (dental)
gdc.oaire.keywords Caputo–Fabrizio fractional order derivative
gdc.oaire.keywords Type (biology)
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Ordinary differential equation
gdc.oaire.keywords Epidemiology
gdc.oaire.keywords numerical simulations
gdc.oaire.keywords tuberculosis mathematical model
gdc.oaire.keywords Fractional derivatives and integrals
gdc.oaire.keywords natural transforms
gdc.oaire.keywords approximate solutions
gdc.oaire.keywords Applications of operator theory to differential and integral equations
gdc.oaire.keywords Dynamical systems in biology
gdc.oaire.keywords Caputo-Fabrizio fractional order derivative
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gdc.opencitations.count 21
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gdc.publishedmonth 12
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gdc.virtual.author Baleanu, Dumitru
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