This work addresses an initial value problem for a class of nonlinear Riemann-Liouville-type nabla discrete fractional difference equations of order \(\lambda \in (1,2]\) . Leveraging the structural characteristics of the fractional system, the problem is reformulated into an equivalent Volterra-type summation equation. The existence and uniqueness of solutions are established using Picard’s successive approximation method in conjunction with fixed-point theory. Additionally, attractive stability is analyzed through the application of Krasnoselskii’s and Schauder’s fixed-point theorems. To validate the theoretical findings, illustrative examples are presented, and their results are numerically confirmed using Newton’s iterative scheme.
