The work reported in this paper deals with the study of a coupled system for fractional terminal value problems involving ψ-Hilfer fractional derivative. The existence and uniqueness theorems to the problem at hand are investigated. Besides, the stability analysis in the Ulam–Hyers sense of a given system is studied. Our discussion is based upon known fixed point theorems of Banach and Krasnoselskii. Examples are also provided to demonstrate the applicability of our results.

中文翻译：

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涉及ψ-希尔弗分数算子的终值问题的耦合系统的存在性和Ulam稳定性。

本文报道的工作涉及一个涉及ψ- Hilfer分数导数的分数终值问题耦合系统的研究。研究了当前问题的存在性和唯一性定理。此外，研究了给定系统在Ulam-Hyers意义上的稳定性。我们的讨论基于Banach和Krasnoselskii的已知不动点定理。还提供了一些示例来说明我们的结果的适用性。