Solvability of a Coupled System of Hadamard Fractional p-Laplacian Differential Equations with Infinite-Point Boundary Conditions at Resonance on an Unbounded Interval

This paper investigates a coupled system of Hadamard fractional p-Laplacian differential equations defined on an unbounded interval, subject to infinitely many points boundary conditions and formulated under a resonance framework. Under suitable growth assumptions imposed on the nonlinear terms of the system, the existence of solutions is established by means of the Ge–Mawhin’s continuation theorem. Moreover, an example is constructed to demonstrate the applicability of the main results.