Compactness of Riemann–Liouville fractional integral operators

Compactness of Riemann–Liouville fractional integral operators

We obtain results on compactness of two linear Hammerstein integral operators with singularities, and apply the results to give new proof that Riemann–Liouville fractional integral operators of order $\alpha\in (0,1)$ map $L^{p}(0,1)$ to $C[0,1]$ and are compact for each $p\in \bigl(\frac{1}{1-\al...

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Bibliographic Details
Main Author: Kunquan Lan
Format: Article
Language:English
Published: University of Szeged 2020-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
linear hammerstein integral operator
riemann–liouville fractional integral operator
compactness
spectral radius
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8938

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8938

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