Nonlinear fractional mathematical model of tuberculosis (TB) disease with incomplete treatment under Atangana-Baleanu derivative
Mati ur Rahman, Muhammad Arfan, Zahir Shah, Poom Kumam, Meshal Shutaywi
Abstract
The current work investigates the mathematical model of Tuberculosis disease with incomplete treatment under the Atangana-Baleanu-Caputo (ABC) derivative with fractional order. Upon exploiting fixed point approach and nonlinear analysis, we derive some theoretical results about solution existence and its stability. The famous fractional Adam Bashforth technique is applied to compute numerical solution to the considered model. The aforesaid tool is based on fundamental theorem of fractional calculus and Lagrange interpolation polynomials. Additionally, various numerical plots are given corresponding to different fractional order in (0,1].
Topics & Concepts
Fractional calculusMathematicsLagrange polynomialApplied mathematicsNonlinear systemStability (learning theory)Interpolation (computer graphics)Fixed-point theoremDerivative (finance)Order (exchange)Mathematical analysisComputer scienceFinancePolynomialFinancial economicsComputer graphics (images)Machine learningQuantum mechanicsEconomicsAnimationPhysicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisIterative Methods for Nonlinear Equations