EXISTENCE RESULTS FOR SYSTEM OF GENERALIZED HYBRID PANTOGRAPH EQUATIONS OF SEQUENTIAL TYPE
Abstract
The aim of this work is to prove the existence and uniqueness of solutions for a coupled system that generalizes hybrid pantograph equations incorporating some fractional operators of Caputo and Riemann-Liouville types. This is achieved throughout Banach and Leray-Schauder fixed point theorems. In addition, we investigate the stability by using the Ulam-Hyer technique, and an illustrative example is provided to show the validity of our findings.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Fuzzy Systems and Optimization
Differential Equations and Boundary Problems
Publication details
- Journal / source
- Journal of Applied Analysis & Computation
- Volume
- 16
- Issue
- 4
- Pages
- 2034–2049
- Publication date
- 1 January 2026
- Language
- EN