Strong right fractional calculus for Banach space valued functions

DOI10.4067/S0716-09172017000100009zbMath1382.26005OpenAlexW2588688713MaRDI QIDQ4604447

George A. Anastassiou

Publication date: 26 February 2018

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4067/s0716-09172017000100009

zbMATH Keywords

Hausdorff measureintegral inequalitiesBochner integralBanach space valued functionsright fractional derivativeright fractional Taylor's formula

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Classical Banach spaces in the general theory (46B25) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (5)

\(q\)-deformed hyperbolic tangent based Banach space valued ordinary and fractional neural network approximations ⋮ Brownian motion approximation by parametrized and deformed neural networks ⋮ Richards's curve induced Banach space valued ordinary and fractional neural network approximation ⋮ Richards's curve induced Banach space valued multivariate neural network approximation ⋮ Generalized iterative procedures and their applications to Banach space valued functions in abstract fractional calculus

Cites Work

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• Functional analysis in modern applied mathematics
• A proof of the fundamental theorem of calculus using Hausdorff measures
• Fractional Differentiation Inequalities
• Advances on Fractional Inequalities

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