• Raut Dnyaneshwar K

In this work, we have proposed fractional order mathematical model constructed by six coupled fractional order ordinary differential equations of multi-drug resistant tuberculosis with twin line treatment and initial conditions. The present fractional order mathematical model has been solved by using fractional order Homotopy perturbation method which yield approximate solutions for all the six ordinary differential equations by applying Riemann-Leivoulli fractional integral. The properties and nature of physical states of these equations have been emphasized more precisely by taking fractional order. Numerical simulation of the model has been carried out by varying order of the differential equations under same value of parameters and uniform initial conditions. Convergence of series of approximate solution is prominently demonstrated. The graphical results have been obtained significantly which determines the impact of fractional order of the model. Fractional order of all ordinary differential equations in the mathematical model are considered to be uniform. The mathematical model with generalization of order has given new fundamental characteristics, deeper understanding and variety of results of tuberculosis. Fractional order model reduces the complexity and makes the complex structure easy for analysis of such natural phenomenons.

"Approximated Solution of Fractional-Order Mathematical Model for Tuberculosis With Two Line Treatment.", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.13, Issue 9, page no.a73-a82, September-2026, Available :http://www.jetir.org/papers/JETIR2609009.pdf

"Approximated Solution of Fractional-Order Mathematical Model for Tuberculosis With Two Line Treatment.", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.13, Issue 9, page no. ppa73-a82, September-2026, Available at : http://www.jetir.org/papers/JETIR2609009.pdf