TY  - JOUR
T1  - Existence of Solutions for a Class of Nonlinear Boundary Value Problems with Caputo Fractional Derivatives
AU  - Tabti, Hamza
AU  - Jarad, Fahd
PY  - 2025
DA  - September
Y2  - 2025
DO  - 10.32323/ujma.1691155
JF  - Universal Journal of Mathematics and Applications
JO  - Univ. J. Math. Appl.
PB  - Emrah Evren KARA
WT  - DergiPark
SN  - 2619-9653
SP  - 158
EP  - 166
VL  - 8
IS  - 3
LA  - en
AB  - 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.
KW  - Caputo
KW  - Existence
KW  - Fixed point theorem
KW  - Fractional differential equation
KW  - Green
KW  - Sublinear condition
KW  - Superlinear condition
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UR  - https://doi.org/10.32323/ujma.1691155
L1  - https://dergipark.org.tr/en/download/article-file/4835750
ER  -