A Study of Caputo Sequential Fractional Differential Equations with Mixed Boundary Conditions

In this paper, we investigate the existence of solutions for a sequential fractional differential equation involving Caputo-type derivative subject to mixed boundary conditions. The core results are derived by employing Krasnoselskii's fixed point theorem and the Leray-Schauder fixed point theorem. We end this study by two illustrative numerical examples, which validate the applicability of our obtained results.