Mathematical analysis of tuberculosis control model using nonsingular kernel type Caputo derivative
Saeed Ahmad, Rafi Ullah, Dumitru Bǎleanu
Abstract
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.
Topics & Concepts
MathematicsInvertible matrixLaplace transformApplied mathematicsKernel (algebra)Adomian decomposition methodDerivative (finance)Ordinary differential equationPartial differential equationExponential functionDecompositionLinearizationType (biology)Mathematical analysisCalculus (dental)Differential equationPure mathematicsEcologyEconomicsQuantum mechanicsFinancial economicsNonlinear systemBiologyPhysicsMedicineDentistryFractional Differential Equations SolutionsAdvanced Control Systems DesignNonlinear Differential Equations Analysis