On the solution and Ulam-Hyers-Rassias stability of a Caputo fractional boundary value problem

In this paper, we investigate a class of boundary value problems involving Caputo fractional derivative $ {{}^C\mathcal{D}^{\alpha}_{a}} $ of order $ \alpha \in (2, 3) $, and the usual derivative, of the form $ \begin{equation*} ({{}^C\mathcal{D}^{\alpha}_{a}}x)(t)+p(t)x'(t)+q(t)x(t) = g(t),...

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Bibliographic Details
Main Authors: Luís P. Castro, Anabela S. Silva
Format: Article
Language:English
Published: AIMS Press 2022-07-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2022505?viewType=HTML