Fundamental Properties and Embedding Results in a Novel $(\hat{I}{¦}_x,\ddot{I}ˆ)$-Fractional Musielak Space with an Application to Nonlocal BVP

Ayoub Kasmi, El Houssine Azroul, Mohammed Shimi

In this paper, we introduce and study a novel class of generalized $(\hat{I}{¦}_x,\ddot{I}ˆ)$-fractional Musielak spaces ${\mathcal{K}}_{\hat{I}{¦}_x}^{\hat{I}\pm ,{\hat{I}}^2,\ddot{I}ˆ}$, which extends classical fractional spac…