涉及Atangana-Baleanu分数算子的非局部杂化积分微分方程

IF 0.7 Q2 MATHEMATICS Muenster Journal of Mathematics Pub Date : 2023-06-17 DOI:10.1155/2023/5891342
Saleh Alshammari, Mohammad Alshammari, Mohammed S Abdo
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引用次数: 0

摘要

本文研究了具有Atangana-Baleanu导数的分数阶积分微分方程的非局部混合边值问题。给出了相应的混合分数阶积分方程。然后,利用Dhage混合不动点定理,建立了三个算子和的存在性结果。我们还提供额外的例外情况和类似的结果。为了演示和验证结果,我们提供了一个示例作为应用程序。
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Nonlocal Hybrid Integro-Differential Equations Involving Atangana–Baleanu Fractional Operators
In this study, we develop a theory for the nonlocal hybrid boundary value problem for the fractional integro-differential equations featuring Atangana–Baleanu derivatives. The corresponding hybrid fractional integral equation is presented. Then, we establish the existence results using Dhage’s hybrid fixed point theorem for a sum of three operators. We also offer additional exceptional cases and similar outcomes. In order to demonstrate and verify the results, we provide an example as an application.
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