Existence and Uniqueness Results for a Class of Backward Neutral Fractional Differential Equations

In this work, we investigate the existence and uniqueness results (EUR) for a class of neutral fractional differential equations (FDEs) with time advance, incorporating the Caputo derivative concerning. By employing the fixed-point theory, we establish rigorous criteria ensuring the wellposedness of the problem. Additionally, we explore the Ulam-Hyers stability properties of the proposed model, providing a comprehensive analysis of its dynamic behavior. To further support our theoretical findings, we present two examples that illustrate the applicability and effectiveness of the obtained results. These findings contribute to the growing body of research on FDEs and their applications in various scientific and engineering fields.OPEN ACCESS Received: 24/03/2025 Accepted: 29/05/2025 Published: 22/09/2025