Localized derivatives in spaces of functions representable by localized fractional integrals

DOI10.1080/10652469.2019.1623794zbMath1423.26012OpenAlexW2946979563WikidataQ127705200 ScholiaQ127705200MaRDI QIDQ5231150

Alexander P. Grinko

Publication date: 26 August 2019

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

Full work available at URL: https://doi.org/10.1080/10652469.2019.1623794

zbMATH Keywords

fractional derivatives and integralscomposition localized fractional derivatives and integralsdifferential equations with localized fractional derivativeslocal fractional derivatives and integralsinitial-value problems for differential equations with localized fractional derivatives

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)

Related Items (2)

Compositions of localized fractional derivatives and integrals of a different degree of localization ⋮ Localized fractional derivative of Djrbashian–Caputo type

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

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