A note on Riemann-Liouville fractional Sobolev spaces

DOI10.3934/cpaa.2020255zbMath1472.46035arXiv2003.09515OpenAlexW3092036018MaRDI QIDQ2658829

Giovanni E. Comi, Alessandro Carbotti

Publication date: 24 March 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.09515

zbMATH Keywords

fractional calculusfractional Sobolev spacesfractional derivativeRiemann-Liouville fractional integralRiemann-Liouville fractional derivativeCaputo fractional derivativefractional \(BV\) spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Linear operators on function spaces (general) (47B38) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Functions of bounded variation, generalizations (26A45)

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