Existence and Uniqueness Results for the Coupled Pantograph System With Caputo Fractional Operator and Hadamard Integral

The main objective of this research involves studying a new novel coupled pantograph system with fractional operators together with nonlocal antiperiodic integral boundary conditions. The system consists of nonlinear pantograph fractional equations which integrate with Caputo fractional operators and Hadamard integrals. A fixed‐point approach has served to study both existence and uniqueness aspects of solutions for the proposed model. The paper investigates Hyers–Ulam stability properties of the developed solution. An appropriate example was provided to confirm the theoretical findings.