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
Fields of Study & Subjects
Fixed Point Theorems Analysis
Functional Equations Stability Results
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Journal of Function Spaces
- Volume
- 2026
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN