Abstract
This paper studies two classes of boundary value problems within the generalized Caputo fractional operators. By applying the fixed point result of
α
-
ϕ
-Geraghty contractive type mappings, we derive new results on the existence and uniqueness of the proposed problems. Illustrative examples are constructed to demonstrate the advantage of our results. The theorems reported not only provide a new approach but also generalize existing results in the literature.