This study explores the existence of solutions for a class of fractional hybrid differential equations incorporating maxima and ϕ-Caputo derivatives on time scales. The analysis employs Dhage’s fixed point theorem alongside key methods from ϕ-fractional calculus on time scales. To highlight the practical relevance and effectiveness of the findings, an illustrative example is provided. The proofs are derived using Dhage’s fixed point theorem and essential techniques from ϕ-fractional calculus on time scales. To demonstrate the applicability and effectiveness of the results, an illustrative example is presented.
Chefnaj et al. (Wed,) studied this question.