Baleanu D.Kumar D.Hristov J.Tuan N.H.Tuan N.A.O'Regan D.Tri V.V.2024-07-102024-07-102024-07-102024-07-102021-01-011760-61010973-534810.1051/mmnp/2021010SCOPUS_ID:85103336770https://rlib.uctm.edu/handle/123456789/636In this paper, a time-fractional integrodifferential equation with the Caputo-Fabrizio type derivative will be considered. The Banach fixed point theorem is the main tool used to extend the results of a recent paper of Tuan and Zhou [J. Comput. Appl. Math. 375 (2020) 112811]. In the case of a globally Lipschitz source terms, thanks to the Lp - Lq estimate method, we establish global in time well-posed results for mild solution. For the case of locally Lipschitz terms, we present existence and uniqueness results. Also, we show that our solution will blow up at a finite time. Finally, we present some numerical examples to illustrate the regularity and continuation of the solution based on the time variable.enArticle