初始边界问题的一些新结果包含阶α∈(2,3)的abc分数阶微分方程

IJISCS International Journal of Information System and Computer Science Pub Date : 2023-06-16 DOI:10.56327/ijiscs.v7i1.1420

Ava Rafeeq, Muhammad Muhammad

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引用次数: 0

摘要

研究了一类新的具有周期边界条件的Atangana-Baleanu阶分数阶微分方程解的存在唯一性。我们的结果是基于Schauder和Banach的不动点。此外，利用Hyers-Ulam稳定体系考察了溶液的稳定性。最后，给出了一个实例来满足所有定理的研究。MSC 2010: 34a08, 26a33, 3420, 34c25, 45j05

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SOME NEW RESULTS OF INITIAL BOUNDARY PROBLEM CONTAIN ABC-FRACTIONAL DIFFERENTIAL EQUATIONS OF ORDER α∈(2,3)

The purpose of this research is to investegate the existence and uniqueness of solutions for a new class of Atangana-Baleanu fractional differential equations of order with periodic boundary conditions. Our results are based on the fixed points of Schauder, and Banach. In addition, investigate the stability of the solution using the Hyers-Ulam stable. Finally, presented an example to satisfy all theorems studies.MSC 2010: 34A08, 26A33, 34G20, 34C25, 45J05

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IJISCS International Journal of Information System and Computer Science

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0.00%

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审稿时长

12 weeks