BOUNDARY VALUE PROBLEMS, vol.2022, no.1, 2022 (SCI-Expanded)
Article / Article
BOUNDARY VALUE PROBLEMS
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
CFD, BVP, Existence and uniqueness, g-H-U stability, HYERS-ULAM STABILITY, LINEAR-DIFFERENTIAL EQUATIONS
Ondokuz Mayıs University Affiliated:
In this paper, we prove the existence and uniqueness of solutions for the nonlocal boundary value problem (BVP) using Caputo fractional derivative (CFD). We derive Green's function and give some estimation for it to derive our main results. The main principles applied to investigate our results are based on the Banach contraction fixed point theorem and Schauder fixed point approach. We dwell in detail on some results concerning the Hyers-Ulam (H-U) type and generalized H-U (g-H-U) type stability also for problem we are considering. We justify our results with an illustrative example.