For semilinear systems with distinct Caputo fractional orders, an L^p-Carathéodory right-hand side yields unique continuous solutions exactly when p exceeds every reciprocal of the fractional orders.
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A General Version of Carath\'{e}odory's Existence and Uniqueness Theorem
For semilinear systems with distinct Caputo fractional orders, an L^p-Carathéodory right-hand side yields unique continuous solutions exactly when p exceeds every reciprocal of the fractional orders.