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The Riemann-Liouville fractional integral in Bochner-Lebesgue spaces IV
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abstract
In this manuscript, we extend our previous work on the Riemann-Liouville fractional integral of order $\alpha > 0$ in Bochner-Lebesgue spaces. We specifically address the remaining cases concerning its boundedness when $\alpha > 1/p$. Furthermore, we extend some of our previous results by investigating some non-standard function spaces. Finally, we provide a comprehensive summary of the obtained results.
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Cited by 1 Pith paper
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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.
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