Some Results on Fractional m-Point Boundary Value Problems. (6th August 2021)

• Record Type: Journal Article
• Authors: Zhu, Huijuan; Han, Baozhi; Shen, Jun
• Other Names: Mao Zisen Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-08-06
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/3152688
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we will apply some fixed-point theorems to discuss the existence of solutions for fractional m-point boundary value problems D 0 + q u ″ t = h t f u t, t ∈ 0, 1, 1 < q ≤ 2, u ′ 0 = u ″ 0 = u 1 = 0, u ″ 1 − ∑ i = 1 m − 2 α i u ‴ ξ i = 0 . In addition, we also present Lyapunov's inequality and Ulam-Hyers stability results for the given m-point boundary value problems.