Solution of Fractional Differential Equations Using Orthogonal L−Simulation Contractions

Abstract

In this study, we unveil some outcomes in non‐Archimedean quasi‐modular metric spaces. By using cyclic ( α , β )−admissible mappings, orthogonal sets, and Z Y −simulation functions, we demonstrate the fixed point of a generalized orthogonal simulative contraction. Our results generalize and expand on analogous observations from the existing literature. We observe fixed points in a non‐Archimedean quasi‐modular metric space, with a graph as a practical application. In addition, we identify a unique solution to a nonlinear fractional differential equation. MSC 2020 Classification: 47H10; 54H25