Existence and stability results for nonlocal boundary value problems of fractional order

被引：0
作者：
Vedat Suat Ertürk
Amjad Ali
Kamal Shah
Pushpendra Kumar
Thabet Abdeljawad
机构：
[1] Ondokuz Mayıs University,Department of Mathematics, Faculty of Arts and Sciences
[2] University of Swat,Department of Mathematics & Statistics
[3] Prince Sultan University,Department of Mathematics and Sciences
[4] University of Malakand,Department of Mathematics
[5] Central University of Punjab,Department of Mathematics and Statistics
[6] China Medical University,Department of Medical Research
来源：
Boundary Value Problems | / 2022卷
关键词：
CFD; BVP; Existence and uniqueness; g-H-U stability; 26A03; 34A08;
D O I：
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摘要：
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.
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