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We also prove, for each fractional model, the existence and uniqueness of solutions. An iterative solution of the two models is computed using the Predictor\u2013Corrector method. Using realistic parameter values, we perform numerical simulations for different values of the fractional order. Simulation results permit to conclude that the new generalized Caputo fractional derivative provides a more realistic analysis than the Caputo\u2013Fabrizio fractional derivative and the classical integer-order TB model. <\/jats:p>","DOI":"10.1142\/s1793962321500379","type":"journal-article","created":{"date-parts":[[2021,2,4]],"date-time":"2021-02-04T01:48:52Z","timestamp":1612403332000},"page":"2150037","source":"Crossref","is-referenced-by-count":37,"title":["A mathematical study of a tuberculosis model with fractional derivatives"],"prefix":"10.1142","volume":"12","author":[{"given":"Hamadjam","family":"Abboubakar","sequence":"first","affiliation":[{"name":"Department of Computer Engineering, University Institute of Technology, University of Ngaound\u00e9r\u00e9, P.O. 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