一类Hilfer分数阶微分方程的平方可积解
Square-Integrable Solutions of a Class of Hilfer Fractional Differential Equations
周乐 1郝晓玲1
作者信息
- 1. 内蒙古大学数学科学学院,呼和浩特 010021
- 折叠
摘要
对一类Hilfer型分数阶Sturm-Liouville方程,证明了其Weyl-Titchmarsh理论,并得出了定义在奇异区间上的此类方程的解的平方可积性.
Abstract
For the fractional Sturm-Liouville equation with the Hilfer fractional operator,the Weyl-Titchmarsh theory is proved.The square integrability property of solutions to the equation defined on a singular interval is concluded.
关键词
分数阶微分方程/平方可积解/Weyl-Titchmarsh理论/Hilfer导数Key words
fractional differential equation/square-integrable solution/Weyl-Titchmarsh theo-ry/Hilfer derivatives引用本文复制引用
出版年
2024