| Volume 14, Number 6, 2024, Pages - DOI： |
| Existence Results for a Nonlinear Generalized Caputo Fractional Boundary Value Problem |
| Fatma Serap Topal |
| Keywords:Fractional differential equation, Caputo fractional derivative, Generalized Caputo fractional derivative and fractional integral, existence result, fixed point theorem, upper and lower solution. |
| Abstract: |
| 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. |
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