The Riemann-Liouville fractional integral in Bochner-Lebesgue spaces IV
Abstract
Abstract In this manuscript, we extend our previous work on the Riemann-Liouville fractional integral of order $$\alpha > 0$$ α > 0 in $$L^p(t_0,t_1;X)$$ L p ( t 0 , t 1 ; X ) . In particular, we establish its boundedness for the case $$\alpha > 1/p$$ α > 1 / p , with $$1< p < \infty $$ 1 < p < ∞ , as well as the case $$\alpha >0$$ α > 0 with $$p = \infty $$ p = ∞ . Moreover, we present a comprehensive summary of the results obtained so far.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Mathematical Inequalities and Applications
Advanced Banach Space Theory
Publication details
- Journal / source
- Fractional Calculus and Applied Analysis
- Volume
- 29
- Issue
- 2
- Pages
- 816–835
- Publication date
- 11 February 2026
- Language
- EN