Fractional integration by parts and Sobolev‐type inequalities for ψ$$ \psi $$‐fractional operators

DOI10.1002/mma.8348zbMath1529.26009OpenAlexW4225391185MaRDI QIDQ6142140

J. Vanterler da Costa Sousa, César E. Torres Ledesma

Publication date: 21 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8348

zbMATH Keywords

Hardy-Littlewood maximal function\(\psi\)-Riemann-Liouville fractional integrals\(\psi\)-Hilfer fractional derivatives\(\psi\) estimatesHardy-Littlewood-type result

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Inequalities involving derivatives and differential and integral operators (26D10) Fractional ordinary differential equations (34A08)

Related Items (2)

Even non-increasing solution for a Schrödinger type problem with Liouville-Weyl fractional derivative ⋮ Three solutions for fractional elliptic systems involving \(\psi\)-Hilfer operator

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