Mathematical Analysis of Tuberculosis Control Model Using Nonsingular Kernel Type Caputo Derivative
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Date
2021
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Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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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.
Description
Keywords
Tuberculosis-(Tb) Mathematical Model, Natural Transforms, Approximate Solutions, Caputo-Fabrizio Fractional Order Derivative, Numerical Simulations, Financial economics, Laplace transform, Economics, Linearization, Approximate solutions, Theory and Applications of Fractional Differential Equations, Invertible matrix, Mathematical analysis, Quantum mechanics, Engineering, Differential equation, Numerical simulations, QA1-939, FOS: Mathematics, Model Reduction, Biology, Anomalous Diffusion Modeling and Analysis, Analysis and Design of Fractional Order Control Systems, Decomposition, Ecology, Applied Mathematics, Physics, FOS: Clinical medicine, Exponential function, Pure mathematics, Partial differential equation, Natural transforms, Applied mathematics, Tuberculosis-(TB) mathematical model, Control and Systems Engineering, Modeling and Simulation, Derivative (finance), FOS: Biological sciences, Dentistry, Physical Sciences, Kernel (algebra), Nonlinear system, Medicine, Adomian decomposition method, Calculus (dental), Caputo–Fabrizio fractional order derivative, Type (biology), Mathematics, Ordinary differential equation, Epidemiology, numerical simulations, tuberculosis mathematical model, Fractional derivatives and integrals, natural transforms, approximate solutions, Applications of operator theory to differential and integral equations, Dynamical systems in biology, Caputo-Fabrizio fractional order derivative
Fields of Science
01 natural sciences, 0101 mathematics
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.
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
21
Source
Advances in Difference Equations
Volume
2021
Issue
1
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CrossRef : 12
Scopus : 26
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