Certain Applications of Fixed Point Results in the Setting of Tricomplex Partial Metric Space

In this paper, we introduce the notion of tricomplex partial metric space as an extension/generalization of the partial metric spaces and prove some common fixed point theorems. Our results extend and generalize some well‐known results. We have also presented nontrivial examples to the derived results. We also explore the applicability of the results to establish the existence of a unique common solution to the system of nonlinear Fredholm integral equations and fractional differential equations.