The Peano-Sard theorem for Caputo fractional derivatives and applications

DOI10.1016/J.CAM.2023.115705MaRDI QIDQ6145221

Arran Fernandez, Suzan Cival Buranay

Publication date: 30 January 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

fractional calculusapproximation theoryCaputo fractional derivativePeano kernels

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Numerical interpolation (65D05) Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional calculus in viscoelasticity: an experimental study
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Error estimates for interpolatory quadrature formulae
• Peano kernels of non-integer order
• Numerical solution of fractional differential equations: a survey and a software tutorial
• A new collection of real world applications of fractional calculus in science and engineering
• Mikusiński's operational calculus for general conjugated fractional derivatives
• Error Bounds for Gaussian Quadrature and Weighted-$L^1$ Polynomial Approximation
• A fractional version of the peano-sard theorem
• On the Fractional Calculus Model of Viscoelastic Behavior
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• On the Nature of Certain Quadrature Formulas and Their Errors

This page was built for publication: The Peano-Sard theorem for Caputo fractional derivatives and applications