Infinitely many positive solutions and Ulam-Hyers stability of fractional order two-point boundary value problems

被引：7
|
作者：
Khuddush, Mahammad [1 ]
Kathun, Sarmila [2 ]
机构：
[1] Dr Lankapalli Bullayya Coll Engn, Dept Math, Visakhapatnam 530013, Andhra Pradesh, India
[2] Andhra Univ, Dept Appl Math, Visakhapatnam 530003, India
来源：
JOURNAL OF ANALYSIS | 2023年 / 31卷 / 03期
关键词：
Positive solutions; Boundary value problem; Positive homomorphism; Fixed point theorem; Ulam-Hyers stability; DIFFERENTIAL-EQUATIONS; EXISTENCE; BVP;
D O I：
10.1007/s41478-023-00549-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish the existence of an infinite number of positive solutions to the two-point Riemann-Liouville integral fractional order boundary value problem. By utilising the fixed point index theory on a Banach space with increasing homeomorphism and a positive homomorphism operator, the results are established. Further, we study the Ulam-Hyers stability of the addressed problem, and then we provide an example to check the validity of the obtained theoretical results.
引用
收藏
页码：2023 / 2042
页数：20
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