一类Hilfer分数阶Riemann-Stieltjes积分边值问题解的存在性

Existence of Solutions for a Class of Hilfer Fractional Riemann-Stieltjes Integral Boundary Value Problems

运用不动点方法研究了一类Hilfer分数阶Riemann-Stieltjes积分边值问题解的存在性。首先将该方程转化为等价的积分方程,然后在合适的工作空间中构建对应的算子方程,并求解其不动点的存在性,进而获得原方程解的存在性。最后提供两个具体实例来支撑所得的结论。

The methods of fixed points is used to study the existence of solutions for a class of Hilfer fractional Riemann-Stieltjes integral boundary value problems.Firstly,this equation is transformed into an equivalent integral equation.Then,the corresponding operator equation is constructed in the appropriate workspace,and the existence of its fixed point is solved,and the existence of the solution of the original equation is obtained.Finally,two concrete examples are provided to support the conclusion.