Existence of solutions for a fractional Riemann–Stieltjes integral boundary value problem

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Abstract

In this paper, we study a Riemann–Liouville-type fractional Riemann–Stieltjes integral boundary value problem under some conditions regarding the spectral radius of the relevant linear operator. The existence of nontrivial solutions is obtained using topological degree, and our results improve and generalize some results in the literature.

Original languageEnglish
Pages (from-to)488-508
Number of pages21
JournalNonlinear Analysis: Modelling and Control
Volume29
Issue number3
DOIs
Publication statusPublished - 1 May 2024

Keywords

  • integral boundary value problems
  • nontrivial solutions
  • Riemann–Liouville-type fractional-order differential equations
  • topological degree

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