一类分数阶微分方程的本征值问题

Eigenvalue problems for fractional differential equations

分数阶微分方程是含有分数次微分(或分数次积分)的方程,是整数阶微分方程的推广,在各个科学领域(如物理、机械、化学、工程等)中得到了非常广泛的应用.本文讨论一类分数阶微分方程的本征值问题和其与相邻的整数阶微分方程本征值问题之间的联系.

Differential equations of fractional order have played a significant role in engineering, science, economy and other fields. In this paper, we deal with some classes of eigenvalue problems for fractional differential equations and consider relations with corresponding eigenvalue problems for differential equations of integer order.