On a coupled system of generalized hybrid pantograph equations involving fractional deformable derivatives

Abstract

The goal of this work is to study the existence of a unique solution and the Ulam-Hyers stability of a coupled system of generalized hybrid pantograph equations with fractional deformable derivatives. Our main tool is Banach's contraction principle. The paper ends with an example to support our results.

Keywords

• deformable derivative
• pantograph equations
• banach contraction principle
• hybrid coupled system
• ulam-hyers stability