Zafar, Zain Ul AbadinYounas, SaminaZaib, SumeraTunc, Cemil2025-05-102025-05-1020221793-52451793-715910.1142/S17935245225001522-s2.0-85121899828https://doi.org/10.1142/S1793524522500152https://hdl.handle.net/20.500.14720/14077The main purpose of this research is to use a fractional-mathematical model including Atangana-Baleanu derivatives to explore the clinical associations and dynamical behavior of the tuberculosis. Herein, we used a lately introduced fractional operator having Mittag-Leffler kernel. The existence and inimitability problems to the relevant model were examined through the fixed-point theory. To verify the significance of the arbitrary fractional-order derivative, numerical outcomes were explored from the biological and mathematical viewpoints using the values of model parameters. The graphical simulations show the comparison of the predictor-corrector method (PCM) and Caputo method (CM) for different fractional orders and the results indicated the significant preference of PCM over CM.eninfo:eu-repo/semantics/closedAccessCaputo MethodFractional ModelPredictor-Corrector MethodMittag-Leffler OperatorTuberculosisArticle154Q3Q1WOS:000786407000011