In this article, we introduce the concept of generalized (α, T)-G-contractive mappings in partial b-metric spaces endowed with a digraph G and obtain a new coincidence point and common fixed point result for a pair of self mappings satisfying such contractive condition. Our main result will extend and unify several known results in the existing literature and also brings some new results as consequences. Finally, we give an application of our main result to obtain a unique solution of an integral equation.