A nonlocal fractional Helmholtz equation

DOI10.7153/fdc-2017-07-08zbMath1424.35348arXiv1608.02135OpenAlexW2528915411WikidataQ115157800 ScholiaQ115157800MaRDI QIDQ4626393

Berikbol T. Torebek, Mukhtar Bin Muhammad Kirane, Batirkhan Kh. Turmetov

Publication date: 27 February 2019

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.02135

zbMATH Keywords

Mittag-Leffler functionboundary value problemHelmholtz equationinvolutionfractional differential equationCaputo operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

On a problem for a nonlocal mixed-type equation of fractional order with degeneration ⋮ On a problem for nonlocal mixed-type fractional order equation with degeneration ⋮ On a class of inverse problems for a heat equation with involution perturbation ⋮ Unnamed Item ⋮ Well-posedness of Tricomi-Gellerstedt-Keldysh-type fractional elliptic problems

Cites Work

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• Initial-boundary value problems for first-order hyperbolic equations with involution
• Dirichlet problem for the generalized Laplace equation with the Caputo derivative
• On solvability of some boundary value problems for a fractional analogue of the Helmholtz equation
• On a Riemann–Liouville fractional analog of the Laplace operator with positive energy

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