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

Li Jing; Qi Jiangang

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

机译：具有左右分数阶导数的分数阶微分方程的特征值问题

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摘要

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. (C) 2015 Elsevier Inc. All rights reserved.

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《Applied mathematics and computation》 |2015年第null期|共10页
作者
Li Jing; Qi Jiangang;
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正文语种 eng
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Fractional differential equation; Self-adjoint; Eigenfunction; Eigenvalue problem;

机译：分数阶微分方程自伴特征函数特征值问题;

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

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