耦合系统的Caputo型分数阶Δ-difference共振边值问题

IF 0.3 Q4 MATHEMATICS

Transactions of A Razmadze Mathematical Institute Pub Date : 2017-12-01 DOI:10.1016/j.trmi.2017.03.005

Yousef Gholami, Kazem Ghanbari

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引用次数: 1

摘要

本文主要研究了一类Caputo型分数阶Δ-difference边值问题的耦合系统在共振处解的存在唯一性。为此，我们利用重合度理论得到存在性结果，并对非线性施加生长控制条件，得出唯一性结果。最后通过一个实例对所得的主要结果进行了具体的实现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Coupled systems of Caputo type fractional Δ-difference boundary value problems at resonance

The main research line of this paper is concerned with the existence and uniqueness of solutions for a certain class of coupled systems of Caputo type fractional $Δ$ -difference boundary value problems at resonance. To this aim, we use coincidence degree theory to obtain existence results and impose growth controlling conditions on nonlinearities, uniqueness results will be concluded. At the end by means of an illustrative example the obtained main results will be implemented.

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来源期刊

Transactions of A Razmadze Mathematical Institute MATHEMATICS-

CiteScore

0.50

自引率

50.00%

发文量

审稿时长

22 weeks