Ulam-Hyers stability analysis for hybrid φ-Caputo time-fractional systems of order δ in (1; 2]

Abstract

This study sought to explore the existence, uniqueness, and Ulam-Hyers stability results for a class of hybrid φ-Caputo time-fractional systems of order δ in (1,2]. The desired conclusions were achieved by applying well-known fixed-point theorems. We study the four different types of Ulam-Hyers stability for the proposed fractional problems. An example is provided at the end to demonstrate the effectiveness of the results.