Existence of solutions for a system of Hilfer–Hadamard fractional sequential boundary value problems
Abstract
This study establishes sufficient conditions for existence of positive solutions of three-variable functions with Hadamard fractional integrals and sequential integral boundary conditions governed by the nonlinear Hilfer–Hadamard fractional derivative. We apply the Leray-Schauder nonlinear alternative fixed-point theorem to obtain these results. The novelty of this study lies in the investigation of a new nonlinear Hilfer–Hadamard system for three-variable Hadamard fractional integrals employing sequential integral boundary conditions which sets our work apart from existing studies.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Fractional Differential Equations Solutions
Fuzzy Systems and Optimization
Publication details
- Journal / source
- Boundary Value Problems
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 1
- Publication date
- 29 June 2026
- Language
- EN