@article{article_1691155, title={Existence of Solutions for a Class of Nonlinear Boundary Value Problems with Caputo Fractional Derivatives}, journal={Universal Journal of Mathematics and Applications}, volume={8}, pages={158–166}, year={2025}, DOI={10.32323/ujma.1691155}, author={Tabti, Hamza and Jarad, Fahd}, keywords={Caputo, Existence, Fixed point theorem, Fractional differential equation, Green, Sublinear condition, Superlinear condition}, abstract={Our aim in this paper is to explore the existence of nonnegative solutions for a boundary value problem involving nonlinear Caputo fractional differential equations. The analysis begins with the formulation of superlinear and sublinear conditions, under which the Guo-Krasnosel’skii fixed point theorem is applied in a cone to get the existence of positive solutions. To facilitate this, the corresponding Green’s function is constructed, and its essential properties are explored. A number of illustrative examples are included to show the applicability of the theoretical results and emphasize their effectiveness.}, number={3}, publisher={Emrah Evren KARA}