Analog of the Birkhoff theorem and the completeness results for fractional order differential equations

zbMath1186.34125MaRDI QIDQ873985

Leonid L. Oridoroga, Mark M. Malamud

Publication date: 3 April 2007

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (8)

Proof of the completeness of the system of eigenfunctions for one boundary-value problem for the fractional differential equation ⋮ On one class of nonself-adjoint operators associated with differential equations of fractional order ⋮ On the completeness of root vectors generated by systems of coupled hyperbolic equations ⋮ On the completeness of systems of eigenfunctions and associated functions of differential operators of orders \(2-\epsilon\) and \(1-\epsilon\) ⋮ Boundary-value problems for differential equations of fractional order ⋮ Transformation Operators for Fractional Order Ordinary Differential Equations and Their Applications ⋮ Boundary value problems of fractional Fokker-Planck equations ⋮ On a class of fractional non-selfadjoint operators associated with differential equations

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