Atrial fibrillation (AF) is one of the most prevalent cardiac arrhythmias, associated with a high risk of thromboembolic complications such as stroke. The use of anticoagulants is essential to prevent these events, with warfarin being widely used for many years. However, new oral anticoagulants (NOACs), such as apixaban and rivaroxaban, have emerged as saferand more effective alternatives, especially in vulnerable subgroups like patients with chronickidney disease and the elderly. This study reviews recent literature on the use of anticoagulants in AF patients, comparing NOACs with warfarin in terms of efficacy, safety,and adherence. Nine studies were selected from PubMed and ScienceDirect databases. Theresults indicate that NOACs have a better safety profile concerning hemorrhagic events and are easier to use due to the lack of frequent monitoring requirements. However, warfarin is still widely used, especially in lower-income countries, due to its more accessible cost. It is concluded that while NOACs represent a significant advancement in AF management, their widespread implementation depends on financial accessibility and the individual suitability ofeach patient.