Existence of solution for some φ-Caputo fractional differential inclusions via Wardowski-Mizoguchi-Takahashi multi-valued contractions

Abstract

In this study, we examine the existence of solution for some φ-Caputo fractional differential inclusions with arbitrary coefficients with boundary values using Wardowski-Mizoguchi-Takahashi multi-valued contractions. Our results utilize some existence results regarding φ-Caputo fractional differential inclusions, in particular the results of Belmor et al. (2021). Our key findings are illustrated with an example.