The main purpose of this study is to investigate a fractional discontinuous Sturm-Liouville problem with transmission conditions. We shall consider a fractional boundary value problem involving an operator with two parts. It is shown that the eigenvalues and corresponding eigenfunctions of the main problem coincide with the eigenvalues and corresponding eigenfunctions of the constructed operator in Hilbert spaces.

Ali Yakar

Zulfigar Akdogan

Advances in Difference Equations

差分方程的理论、使用的方法及其广泛的应用已经超越了他们的青少年阶段，在应用分析中占据了中心位置。事实上，在过去的 15 年里，数百篇研究论文、几部专着、许多国际会议和许多专题会议见证了该主题的激增。微分方程和差分方程的理论形成了现实世界问题的两个极端表示.例如，当表示为微分方程时，简单的总体模型显示解的良好行为，而相应的离散模拟显示混沌行为。人口的实际行为介于两者之间。微分方程进展的目的是主要报告微分方程领域的新发展及其在各个领域的应用。我们还将考虑强调普通、部分、延迟、分数、抽象、随机、模糊和集值微分方程解的定性行为的研究文章。差分方程的进步将接受包含原始研究结果和调查的高质量文章具有特殊价值的文章。

The theory of difference equations and their wide-ranging applications have entered a new phase, becoming a central focus in applied analysis. Over the past 15 years, hundreds of research papers, several monographs, and numerous international conferences and workshops have witnessed the vigorous development of this field. The theories of differential and difference equations represent two extremes of real-world problems. For instance, simple population models exhibit good behavior in solutions when expressed as differential equations, while corresponding discrete simulations may display chaotic behavior. The actual behavior of populations lies between these two extremes. The aim of this journal is to primarily report new developments in the field of differential equations and their applications across various domains. We also welcome research articles that emphasize the qualitative behavior of solutions to ordinary, partial, delay, fractional, abstract, stochastic, fuzzy, and set-valued differential equations. The journal will accept high-quality articles containing original research results and surveys that hold special academic value.

差分方程的理论及其广泛应用已经进入了一个新的阶段，成为应用分析中的核心内容。在过去的15年里，数百篇研究论文、几部专著以及众多国际会议和专题研讨会见证了这一领域的蓬勃发展。微分方程和差分方程的理论分别代表了现实世界问题的两个极端。例如，简单的总体模型在微分方程中表现出良好的解的行为，而相应的离散模拟则可能显示出混沌行为。实际的人口行为介于这两者之间。该期刊的目的是主要报道微分方程领域的新进展及其在各个领域的应用。同时，我们也欢迎强调普通、部分、延迟、分数、抽象、随机、模糊和集值微分方程解的定性行为的研究文章。期刊将接受包含原创研究成果和调查的高质量文章，这些文章具有特殊的学术价值。

Category	Quartile
数学	3
数学, 数学	3
数学, 应用数学	3

On the fundamental solutions of a discontinuous fractional boundary value problem

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Category	Quartile
MATHEMATICS, APPLIED	1