通过利乌维尔-卡普托原理求分数阶序列积分微分方程系统的存在性结果

IF 1.3 4区数学 Q1 MATHEMATICS

Journal of Mathematics Pub Date : 2024-05-27 DOI:10.1155/2024/6889622

Muath Awadalla, Manigandan Murugesan, Subramanian Muthaiah, Jihan Alahmadi

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引用次数: 0

摘要

我们研究了一个非线性序列分数微分方程系统中的解的存在性和唯一性条件，该系统采用的是具有不同阶数的 Liouville-Caputo 型。非局部耦合积分边界条件丰富了该系统。通过使用传统的定点定理，可以获得理想的结果。必须强调的是，定点法被证明是建立边界值问题解存在性的有效方法。此外，我们还提供了一些构造实例来说明所获得的结果。

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Existence Results for the System of Fractional-Order Sequential Integrodifferential Equations via Liouville–Caputo Sense

We investigate the conditions for the existence and uniqueness of solutions in a nonlinear system of sequential fractional differential equations using the Liouville–Caputo type with varying orders. This system is enriched by nonlocal coupled integral boundary conditions. The desired outcomes are attained by employing traditional fixed-point theorems. It is essential to emphasize that the fixed-point approach proves to be an effective method for establishing the existence of solutions in boundary value problems. Furthermore, we provide constructed examples to illustrate the obtained results.

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来源期刊

Journal of Mathematics Mathematics-General Mathematics

CiteScore

2.50

自引率

14.30%

发文量

期刊介绍： Journal of Mathematics is a broad scope journal that publishes original research articles as well as review articles on all aspects of both pure and applied mathematics. As well as original research, Journal of Mathematics also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.