EXISTENCE RESULTS FOR A NONLINEAR GENERALIZED CAPUTO FRACTIONAL BOUNDARY VALUE PROBLEM
Articles > Article · 2024
Authors: Serap Yalçın, Erbil ÇETİN, Fatma Serap Topal
Journal of Applied Analysis & Computation, International, WoS, 2024, vol 14, pp 3639-3656
DOI: 10.11948/20230359
Summary
This study gives some new existence results for a three point boundary value problem involving a nonlinear fractional differential equation that incorporates a broad form of the Caputo fractional derivative concerning a new function. Our approach rests upon the fixed point theorems established by Banach, Schafer, and Schauder. Additionally, we substantiate the robustness of our findings by providing an apt illustrative example.