School of Mathematics and Physics, Xinjiang Institute of Engineering, Urumqi, Xinjiang, China.
College of Mathematics and System Science, Xinjiang University, Urumqi, Xinjiang, China.
Math Biosci Eng. 2023 Jan;20(3):4421-4436. doi: 10.3934/mbe.2023205. Epub 2022 Dec 23.
The purpose of this article is to research the existence of solutions for fractional periodic boundary value problems with p(t)-Laplacian operator. In this regard, the article needs to establish a continuation theorem corresponding to the above problem. By applying the continuation theorem, a new existence result for the problem is obtained, which enriches existing literature. In addition, we provide an example to verify the main result.
本文旨在研究具有 p(t)-Laplace 算子的分数阶周期边值问题解的存在性。为此，文章需要建立与上述问题对应的延拓定理。通过应用延拓定理，得到了该问题的一个新的存在性结果，丰富了已有文献。此外，我们还提供了一个例子来验证主要结果。
