On the sectorial property of the Caputo derivative operator

DOI10.1016/j.aml.2015.03.001zbMath1371.34124OpenAlexW1967323052WikidataQ57436471 ScholiaQ57436471MaRDI QIDQ494529

Kazufumi Ito, Bangti Jin, Tomoya Takeuchi

Publication date: 1 September 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.03.001

zbMATH Keywords

Caputo fractional derivativesectorial property

Mathematics Subject Classification ID

Functional-differential equations with fractional derivatives (34K37) Spectral theory of functional-differential operators (34K08)

Related Items (6)

On a Legendre tau method for fractional boundary value problems with a Caputo derivative ⋮ A new derivative with normal distribution kernel: theory, methods and applications ⋮ On numerical contour integral method for fractional diffusion equations with variable coefficients ⋮ Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws ⋮ A mathematical model of circadian rhythms synchronization using fractional differential equations system of coupled van der Pol oscillators ⋮ On analytic semigroup generators involving Caputo fractional derivative

Cites Work

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• Distribution of roots of Mittag-Leffler functions
• An inverse Sturm-Liouville problem with a fractional derivative
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Harmonic analysis in the complex domain and applications in the theory of analytic and infinitely differentiable functions
• Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation

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