This research work is dedicated to investigating a class of impulsive fractional order differential equations under the Robin boundary conditions via the application of topological degree theory (TDT). We establish some adequate results for the existence of at most one solution for the consider problem. Further, the whole analysis is illustrated by providing a pertinent example. We keep in mind that the conditions we develop by using TDT are much weaker than using ordinary fixed point theory. Hence TDT can be used as powerful tool for the theoretical analysis of many linear and nonlinear problems.

中文翻译：

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Robin边界条件下脉冲分数阶微分方程的拓扑度研究

这项研究工作致力于通过拓扑度理论（TDT）的应用研究在Robin边界条件下的一类脉冲分数阶微分方程。我们为考虑问题的至多一种解决方案的存在建立了一些适当的结果。此外，通过提供相关示例来说明整个分析。我们要记住，使用TDT开发的条件比使用普通定点理论要弱得多。因此，TDT可以用作许多线性和非线性问题的理论分析的有力工具。