Eigenvalue problems for fractional differential equations with right and left fractional derivatives

Jing Li and Jiangang Qi

Applied Mathematics and Computation, 2015, vol. 256, issue C, 1-10

Abstract: This paper studies the eigenvalue problem of a class of fractional differential equations with right and left fractional derivatives. With the aid of the spectral theory of compact self-adjoint operators in Hilbert spaces, we show that the spectrum of this problem consists of only countable real eigenvalues with finite multiplicity and the corresponding eigenfunctions form a complete orthogonal system. Furthermore, the lower bound of the eigenvalues is obtained.

Keywords: Fractional differential equation; Self-adjoint; Eigenfunction; Eigenvalue problem (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:1-10

DOI: 10.1016/j.amc.2014.12.146

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