<p>This study presents a novel local meshless RBF-based differential quadrature (RBF-DQ) method for simulating two-dimensional time fractional advection-diffusion equations of distributed order. The B-spline method is employed to discretize the proposed model with respect to the time variable, ensuring a smooth and accurate representation of temporal variations. By integrating the flexibility of meshless techniques with the efficiency of differential quadrature, the method proves highly effective for arbitrary 2D domains. Numerical validations, including cases with Dirichlet boundary conditions, highlight its versatility in addressing both constant-order and distributed-order equations. The method’s robustness and accuracy were further demonstrated on complex and irregular geometries, confirming its potential for practical applications with spatial variability and non-standard boundaries. These results underscore the precision and reliability of the RBF-DQ approach for solving distributed-order time fractional equations on diverse computational domains.</p>