论文标题
涉及Riemann-Stieltjes积分条件的非局部分数边界价值问题的积极解决方案
Positive solutions of nonlocal fractional boundary value problem involving Riemann-Stieltjes integral condition
论文作者
论文摘要
在本文中，我们研究了涉及Caputo分数衍生物和非局部Riemann-Stieltjes积分边界条件的非局部分数边界值问题的阳性溶液的存在。通过使用相关线性运算符和Gelfand公式的光谱分析，我们为光谱半径获得了有用的上限和下限。我们的讨论基于绿色功能的特性和圆锥形中的固定点索引理论。
In this paper, we investigate the existence of positive solutions for a nonlocal fractional boundary value problem involving Caputo fractional derivative and nonlocal Riemann-Stieltjes integral boundary condition. By using the spectral analysis of the relevant linear operator and Gelfand's formula, we obtain an useful upper and lower bounds for the spectral radius. Our discussion is based on the properties of the Green's function and the fixed point index theory in cones.
