On some regular fractional Sturm-Liouville problems with generalized Dirichlet conditions

DOI10.1216/JIE-2016-28-4-459zbMath1358.34035MaRDI QIDQ727876

Hacen Dib, Fatima-Zahra Bensidhoum

Publication date: 21 December 2016

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1481792836

zbMATH Keywords

Hilbert-Schmidt operatorsfractional Green's functionfractional Sturm-Liouville problemMIN-MAX principleright- and left-sided Riemann-Liouville fractional derivatives

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Green's functions for ordinary differential equations (34B27) Integral operators (47G10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Fractional ordinary differential equations (34A08)

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Fractional hybrid inclusion version of the Sturm-Liouville equation ⋮ Some inverse problems for fractional integro-differential equation involving two arbitrary kernels ⋮ REGULAR FRACTIONAL DIRAC TYPE SYSTEMS ⋮ Existence and uniqueness of solution for Sturm-Liouville fractional differential equation with multi-point boundary condition via Caputo derivative ⋮ Unnamed Item ⋮ Inverse problem for a multi-parameters space-time fractional diffusion equation with nonlocal boundary conditions: operational calculus approach ⋮ On a fractional hybrid version of the Sturm-Liouville equation

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