文章基本信息

标题：The Iterative Positive Solution for a System of Fractional q -Difference Equations with Four-Point Boundary Conditions
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作者：Chuanzhi Bai ; Dandan Yang
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2020
卷号：2020
页码：1-8
DOI：10.1155/2020/3970903
出版社：Hindawi Publishing Corporation
摘要：In this work, we investigate the following system of fractional q -difference equations with four-point boundary problems: D q α u t + f t , v t = 0,0 t 1 ; D q β v t + g t , u t = 0,0 t 1 ; u 0 = 0 , u 1 = γ 1 u η 1 ; and v 0 = 0 , v 1 = γ 2 u η 2 , where D q α and D q β are the fractional Riemann–Liouville q -derivative of order α and β , respectively, 0 q 1 , 1 β ≤ α ≤ 2 , 0 η 1 , η 2 1 , 0 γ 1 η 1 α − 1 1 , and 0 γ 2 η 2 β − 1 1 . By virtue of monotone iterative approach, the iterative positive solutions are obtained. An example to illustrate our result is given.