Paulo M. Carvalho-Neto

collaborators

3 papers

math.FA2025

On Continuously Differentiable Vector-Valued Functions of Non-Integer Order

Paulo M. Carvalho-Neto, Renato Fehlberg Júnior

The function spaces of continuously differentiable functions are extensively studied and appear in various mathematical settings. In this context, we investigate the spaces of cont…

math.FA2021

The Riemann-Liouville fractional integral in Bochner-Lebesgue spaces II

Paulo Mendes Carvalho-Neto, Renato Fehlberg Júnior

In this work we study the Riemann-Liouville fractional integral of order $α \in (0, 1/ p)$ as an operator from $L^{p} (I; X)$ into $L^{q} (I; X)$ , with $1 \leq q \leq p / (1 - p α)$ , whether $I=[t_…

math.FA2021

The Riemann-Liouville fractional integral in Bochner-Lebesgue spaces I

Paulo Mendes Carvalho-Neto, Renato Fehlberg Júnior

In this paper we study the Riemann-Liouville fractional integral of order $α > 0$ as a linear operator from $L^{p} (I, X)$ into itself, when $1 \leq p \leq \infty$ , $I = [t_{0}, t_{1}]$ (or $I=[t…