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Existence under condition $(C_p^*)$ for the fractional Carathéodory problem
Existence conjecture. Assuming only $(C_p^*)$ should suffice to establish existence of a solution to the associated problem.
Conjectureopencaratheodory-theorems fractional-differential-equationsarXiv posted 2 days ago

Existence under condition (Cp∗)(C_p^*)(Cp∗​) for the fractional Carathéodory problem