Transformation Operators for Fractional Order Ordinary Differential Equations and Their Applications

DOI10.1007/978-3-030-35914-0_24zbMath1447.34013OpenAlexW3015723626MaRDI QIDQ3296667

Mark M. Malamud

Publication date: 1 July 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-35914-0_24

zbMATH Keywords

ordinary differential equationsfractional ordertransformation operators

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) General theory of ordinary differential operators (47E05) Fractional ordinary differential equations (34A08)

Cites Work

• On the Riesz basis property of root vectors system for \(2\times 2\) Dirac type operators
• Unique determination of a system by a part of the monodromy matrix
• Certain inverse problems for differential operators of higher orders on the semiaxis
• On similarity, reducing manifolds, and unitary equivalence of certain Volterra operators
• Analog of the Birkhoff theorem and the completeness results for fractional order differential equations
• On the similarity between Volterra operators and transformation operators for integro-differential operators of fractional order
• Some Hilbert Spaces of Entire Functions. IV
• Fractional Differential Equations
• Inverse spectral theory as influenced by Barry Simon
• Regular Mittag-Leffler kernels and spectral decomposition of a class of non-selfadjoint operators
• INVARIANT SUBSPACES OF DISSIPATIVE VOLTERRA OPERATORS WITH NUCLEAR IMAGINARY COMPONENTS
• Preface
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