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.