一类关于函数的黎曼-刘维尔导数边值问题解的存在性

IF 0.8 4区数学 Q2 MATHEMATICS

Filomat Pub Date : 2023-01-01 DOI:10.2298/fil2304261n

A. Nouf, W. Shammakh, A. Ghanmi

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引用次数: 0

摘要

研究了一类涉及函数广义Riemann Liouville导数和p-Laplace算子的分数边值问题。准确地说，我们利用变分方法结合山口定理，证明了该问题具有非平凡的弱解。我们的主要结果显著补充和改进了文献中一些先前的论文。

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Existence of solutions for a class of boundary value problems involving Riemann Liouville derivative with respect to a function

In this article, we study some class of fractional boundary value problem involving generalized Riemann Liouville derivative with respect to a function and the p-Laplace operator. Precisely, using variational methods combined with the mountain pass theorem, we prove that such problem has a nontrivial weak solution. Our main result significantly complement and improves some previous papers in the literature.

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