Existence of solutions for a system of Hilfer–Hadamard fractional sequential boundary value problems

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.