Existence and Uniqueness of Solutions to Fractional Differential Equations in Complex-Valued Suprametric Spaces
Abstract
This study focuses on establishing the existence and uniqueness of solutions for nonlinear fractional differential equations through the application of fixed-point methods in complex-valued suprametric spaces. In order to accomplish this, novel cyclic and interpolative contractive conditions are formulated within the complex-valued suprametric setting, leading to the derivation of several common fixed-point theorems. The obtained results extend and encompass a variety of known fixed-point theorems in complex-valued metric spaces as particular instances. In addition, meaningful and non-trivial examples are presented to highlight the effectiveness and practical relevance of the developed theoretical framework.
Fields of Study & Subjects
Fixed Point Theorems Analysis
Nonlinear Differential Equations Analysis
Optimization and Variational Analysis
Publication details
- Journal / source
- Fractal and Fractional
- Publisher
- MDPI AG
- Volume
- 10
- Issue
- 5
- Pages
- 332–332
- Publication date
- 13 May 2026
- Language
- EN