论文标题
langevin方程，具有涉及$ψ$的非本地边界条件 - 卡普托分数操作员
Langevin equation with nonlocal boundary conditions involving a $ψ$--Caputo fractional operator
论文作者
论文摘要
本文研究了langevin方程的非本地边界条件，涉及$ψ$ - 卡普托分数衍生物操作员。通过Krasnoselskii和Banach的固定点技术的助手，我们为当前问题的存在和独特性提供了新的结果。此外，$ψ$ - 分类的谷物墙不平等和$ψ$ - 零件的分数集成被用来证明ulam- hyers and ulam- hyers- Hyers-rassias稳定性。示例是有天赋的，以证明我们的主要结果的优势。这里提出的结果比文献中现有的结果更笼统，并将其作为特定情况。
This paper studies Langevin equation with nonlocal boundary conditions involving a $ψ$--Caputo fractional derivatives operator. By the aide of fixed point techniques of Krasnoselskii and Banach, we derive new results on existence and uniqueness of the problem at hand. Further, the $ψ$-fractional Gronwall inequality and $ψ$--fractional integration by parts are employed to prove Ulam--Hyers and Ulam--Hyers--Rassias stability for the solutions. Examples are gifted to demonstrate the advantage of our major results. The proposed results here are more general than the existing results in the literature and obtain them as particular cases.
