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一类耦合混合分数阶微分方程组的存在性结果

Existence results for a system of coupled hybrid fractional differential equations.

作者信息

Ahmad Bashir, Ntouyas Sotiris K, Alsaedi Ahmed

机构信息

Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.

Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia ; Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece.

出版信息

ScientificWorldJournal. 2014;2014:426438. doi: 10.1155/2014/426438. Epub 2014 Aug 18.

Abstract

This paper studies the existence of solutions for a system of coupled hybrid fractional differential equations with Dirichlet boundary conditions. We make use of the standard tools of the fixed point theory to establish the main results. The existence and uniqueness result is elaborated with the aid of an example.

摘要

本文研究了具有狄利克雷边界条件的耦合混合分数阶微分方程组解的存在性。我们利用不动点理论的标准工具来建立主要结果。借助一个例子阐述了存在唯一性结果。

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