Boundary-value problems for differential equations of fractional order

DOI10.1007/s10958-013-1543-yzbMath1286.34006OpenAlexW1974372953MaRDI QIDQ2434083

Yi-Fa Tang, Temirkhan S. Aleroev, Mukhtar Bin Muhammad Kirane

Publication date: 17 February 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1543-y

zbMATH Keywords

Mittag-Leffler functionspectrumfractional derivativeeigennumber

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional ordinary differential equations (34A08)

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Cites Work

• Unnamed Item
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• On the completeness of systems of eigenfunctions and associated functions of differential operators of orders \(2-\epsilon\) and \(1-\epsilon\)
• On the completeness of systems of root functions of differential operators of fractional order with matrix coefficients
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• Analog of the Birkhoff theorem and the completeness results for fractional order differential equations
• Multiple positive solutions for (n-1, 1)-type semipositone conjugate boundary value problems of nonlinear fractional differential equations
• A Problem on the zeros of the Mittag-Leffler function and the spectrum of a fractional-order differential operator
• On a theorem of Whipple
• Completeness of the system of eigenfunctions of a fractional-order differential operator
• The eigenvalues of a boundary value problem for a fractional-order differential operator
• A problem on the zeros of the Mittag-Leffler function and the spectrum of a fractional-order differential operator

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