In the present research work, we investigate the existence of a solution for new boundary value problems involving fractional differential equations with -Caputo fractional derivative supplemented with nonlocal multipoint, Riemann–Stieltjes integral and -Riemann–Liouville fractional integral operator of order boundary conditions. Also, we study the existence result for the inclusion case. Our results are based on the modern tools of the fixed-point theory. To illustrate our results, we provide examples.

中文翻译：

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一类新的Caputo分数阶微分方程及其包含

在本研究工作中，我们调查涉及分数阶微分方程的新的边界值问题解的存在性-辅以外地多，黎曼- Stieltjes积分和Caputo分数导数-的顺序黎曼-刘维尔分数次积分算的边界条件。另外，我们研究了包含案例的存在结果。我们的结果基于定点理论的现代工具。为了说明我们的结果，我们提供了示例。