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

被引：0
作者：
Mahammad Khuddush
Sarmila Kathun
机构：
[1] Dr. Lankapalli Bullayya College of Engineering,Department of Mathematics
[2] Andhra University,Department of Applied Mathematics
来源：
The Journal of Analysis | 2023年 / 31卷
关键词：
Positive solutions; Boundary value problem; Positive homomorphism; Fixed point theorem; Ulam–Hyers stability; 26A33; 34A08; 34B16;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：2023 / 2042
页数：19
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  • [15] Hyer D(2022)Ulam–Hyers stability and analytical approach for m-dimensional Caputo space-time variable fractional order advection–dispersion equation Advanced Studies: Euro-Tbilisi Mathematical Journal 64 undefined-undefined
  • [16] Khuddush M(2022)Existence of solutions for Chaos, Solitons & Fractals undefined undefined-undefined
  • [17] Prasad KR(2016)-dimensional fractional order bvp with Advances in Difference Equations undefined undefined-undefined
  • [18] Khuddush M(2012)-point boundary conditions via the concept of measure of noncompactness Computers and Mathematics with Applications undefined undefined-undefined
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