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 language | English |
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Article number | 085247 |
Journal | Physica Scripta |
Volume | 99 |
Issue number | 8 |
DOIs | |
Publication status | Published - 1 Aug 2024 |
Externally published | Yes |
Keywords
- Ulam-Hyers stability
- fractional boundary value problem
- three point boundary condition
- Ψ-Caputo derivative