Title
Fractional integration by parts and Sobolev-type inequalities for ψ-fractional operators
Date Issued
2022
Access level
metadata only access
Resource Type
journal article
Author(s)
Sousa J.V.d.C.
Publisher(s)
John Wiley and Sons Ltd
Abstract
In the present paper, we investigate the Hardy–Littlewood type and the integration by parts result for (Formula presented.) –Riemann–Liouville fractional integrals. Also, we attack the integration by parts for the (Formula presented.) –Riemann–Liouville and (Formula presented.) –Hilfer fractional derivatives. To finish, we investigated Sobolev-type inequalities involving the (Formula presented.) –Riemann–Liouville and the (Formula presented.) –Hilfer fractional derivatives in weighted space.
Language
English
OCDE Knowledge area
Matemáticas puras
Subjects
DOI
Scopus EID
2-s2.0-85129250748
Source
Mathematical Methods in the Applied Sciences
ISSN of the container
01704214
Sponsor(s)
We are very grateful to the anonymous reviewers for their useful comments that led to improvement of the manuscript. César T. Ledesma was partially supported by CONCYTEC, Peru, 379-2019-FONDECYT “ASPECTOS CUALITATIVOS DE ECUACIONES NO-LOCALES Y APLICACIONES.”
Sources of information:
Directorio de Producción Científica
Scopus