Exploring existence, uniqueness, and stability in nonlinear fractional boundary value problems with three-point boundary conditions

R. Poovarasan, Thabet Abdeljawad*, V. Govindaraj

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This study investigates the analysis of the existence, uniqueness, and stability of solutions for a Ψ-Caputo three-point nonlinear fractional boundary value problem using the Banach contraction principle and Sadovskii’s fixed point theorem. We demonstrate the practical implications of our analytical advancements for each situation, illustrating how the components of the fractional boundary value problem emerge in real-life occurrences. Our work significantly enhances the field of applied mathematics by offering analytical solutions and valuable insights.

Original languageEnglish
Article number085247
JournalPhysica Scripta
Volume99
Issue number8
DOIs
Publication statusPublished - 1 Aug 2024
Externally publishedYes

Keywords

  • Ulam-Hyers stability
  • fractional boundary value problem
  • three point boundary condition
  • Ψ-Caputo derivative

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