EXISTENCE RESULTS FOR A NONLINEAR GENERALIZED CAPUTO FRACTIONAL BOUNDARY VALUE PROBLEM

Makaleler > Tam Makale · 2024

Yazarlar: Serap Yalçın, Erbil ÇETİN, Fatma Serap Topal

Journal of Applied Analysis & Computation, Uluslararası, Wos, 2024, cilt 14, ss 3639-3656

DOI: 10.11948/20230359

Özet

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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