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

Babak Mohammadi, Marija Paunovic, Vahid Parvaneh, Mohammad Mursaleen


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


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