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

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。

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.