Coupled system of $ (k, \psi) $-Caputo fractional boundary value problems involving multi-point fractional closed boundary conditions
Abstract
This work is devoted to the analysis of a coupled system of $ (k, \psi) $-Caputo fractional differential equations equipped with fractional closed boundary conditions. We establish the uniqueness of solutions by applying Banach's contraction principle, and existence is obtained through the Leray–Schauder alternative. Illustrative examples are included to demonstrate the effectiveness and practical relevance of the theoretical results.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Fractional Differential Equations Solutions
Fuzzy Systems and Optimization
Publication details
- Journal / source
- AIMS Mathematics
- Volume
- 11
- Issue
- 1
- Pages
- 2722–2746
- Publication date
- 1 January 2026