Fractional integration by parts and Sobolev-type inequalities for ψ-fractional operators

被引：7

作者：

Torres Ledesma, Cesar E. ^{[1
]}

Sousa, Jose Vanterler da C. ^{[2
]}

机构：

[1] Univ Nacl Trujillo, Dept Matemat, Av Juan Pablo II s-n, Trujillo, Peru

[2] Univ Fed ABC UFABC, Ctr Matemat Computacao Cognicao, Santo Andre, SP, Brazil

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 16期

关键词：

Hardy-Littlewood maximal function; Hardy-Littlewood type result; psi estimates; psi-Hilfer fractional derivatives; psi-Riemann-Liouville fractional integrals; ORDER; CALCULUS;

D O I：

10.1002/mma.8348

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we investigate the Hardy-Littlewood type and the integration by parts result for psi-Riemann-Liouville fractional integrals. Also, we attack the integration by parts for the psi-Riemann-Liouville and psi-Hilfer fractional derivatives. To finish, we investigated Sobolev-type inequalities involving the psi-Riemann-Liouville and the psi-Hilfer fractional derivatives in weighted space.

引用

页码：9945 / 9966

页数：22

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