Hojjat Afsharia, Asghar Ahmadkhanlub
aDepartment of Mathematics, Faculty of Science, University of Bonab, Bonab, Iran
bDepartment of Mathematics, Faculty of Basic Science, Azarbaijan Shahid Madani University, Tabriz, Iran
In this research, by entering an α–θ–Geraghty contraction, the existence of a positive solution for a boundary value problem with Caputo–Hadamard derivative including an integral boundary condition is studied. These new results improve and generalize the results stated in the literature. Some examples support and clarify our findings.
Keywords: Boundary value problem; Caputo–Hadamard derivative; Integral boundary condition; α–θ–Geraghty contraction.
Afshari, H., & Ahmadkhanlu, A. (2023). The existence of positive solutions for a Caputo-Hadamard boundary value problem with an integral boundary condition. Advances in the Theory of Nonlinear Analysis and Its Application, 7(5), 155–164.