Solution of Implicit Fractional Differential Equation in the Setting of New Perturbed Spaces
Abstract
Distance error between two points, which arises from various causes directly impact measurement accuracy. Although these errors may seem small individually, their cumulative effect can lead to significant discrepancies. Considering this, we introduce the concept of perturbed $S$-metric spaces and present a noteworthy generalization of fixed points theorems in this context. Also, we prove existence and uniqueness of a solution for a deformable fractional order implicit differential equation.
Fields of Study & Subjects
Fixed Point Theorems Analysis
Fractional Differential Equations Solutions
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Statistics Optimization & Information Computing
- Publisher
- International Academic Press
- Volume
- 16
- Issue
- 1
- Pages
- 378–388
- Publication date
- 7 April 2026