Erratum to: `The mean value theorems and a Nagumo-type uniqueness theorem for Caputo's fractional calculus

DOI10.1515/fca-2017-0082zbMath1430.34003OpenAlexW4206653987MaRDI QIDQ1640805

Kai Diethelm

Publication date: 14 June 2018

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2017-0082

zbMATH Keywords

uniqueness of solutionsCaputo derivativefractional differential equationNagumo's theoremmean value theorem of differential calculusmean value theorem of integral calculus

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional ordinary differential equations (34A08)

Related Items (7)

A C^α finite difference method for the Caputo time‐fractional diffusion equation ⋮ Uniqueness criteria for initial value problem of conformable fractional differential equation ⋮ On a quantitative theory of limits: estimating the speed of convergence ⋮ On a Caputo-type fractional derivative respect to another function using a generator by pseudo-operations ⋮ Corrigendum to: ``Linear first order Riemann-Liouville fractional differential and perturbed Abel's integral equations ⋮ Fractional controller based on a robust PI^α observer for uncertain fractional systems ⋮ Cater type inequalities involving Cater products and their applications in space science

Cites Work

• Generalized Taylor's formula
• On Uniqueness Theorems for Ordinary Differential Equations and for Partial Differential Equations of Hyperbolic Type
• The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus

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