Compositions of localized fractional derivatives and integrals of a different degree of localization

DOI10.1080/10652469.2021.2012469zbMath1501.26005OpenAlexW4200477630WikidataQ114099297 ScholiaQ114099297MaRDI QIDQ5094507

Alexander P. Grinko

Publication date: 3 August 2022

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2021.2012469

zbMATH Keywords

fractional derivatives and integralscomposition localized fractional derivatives and integralsdifferential equations with localized fractional derivativesinitial value problems for differential equations with localized fractional derivativeslocal fractional derivatives and integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Linear composition operators (47B33) Initial value problems for nonlinear first-order PDEs (35F25) Fractional ordinary differential equations (34A08) Averaging for functional-differential equations (34K33)

Cites Work

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• A new definition of fractional derivative
• Fractional differentiability of nowhere differentiable functions and dimensions
• Generalized Abel type integral equations with localized fractional integrals and derivatives
• Localized fractional derivative of Djrbashian–Caputo type
• Localized derivatives in spaces of functions representable by localized fractional integrals