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Nowadays, e-commerce, streaming and social networks platforms play an important role in our daily lives. However, the ever-increasing addition of items on these platforms (items on Amazon, videos on Netflix and YouTube, posts on Facebook and Instagram) makes it difficult for users to select items that interest them. The integration of recommender systems into these platforms aims to offer each user a small list of items that match their preferences. To improve the performance of these recommender systems, some work in the literature incorporate explicit or implicit trust between platform users through trust-based recommender systems. Indeed, many of these works are based on explicit trust, when each user designates those whom they trust in the platform. But this information is rare in most real-world platforms. Thus, other work propose to estimate the implicit trust that each user can grant to another. However, work that estimates implicit trust does not take into account the temporal dynamics of users' past following actions and even less the fact that a user can influence another on one category of item and not on another. In this paper, we propose time and content aware strategies to estimate social influence of one user on another. The resulting time and content aware implicit trust are integrated to trust-based recommender systems build on K-Nearest Neighbors (KNN) and Graph-based techniques. Experiments done for rating predictions with KNN and Top-N recommendations with Graph model show that time and content aware implicit trust make it possible to improve the performance of the KNN according to the RMSE metric by 7% and 10%, and the performance of the graph model according to the NDCG@10 metric by 59% and 08% respectively on the Ciao and Epinions datasets.