Positive solutions for integral boundary value problems of nonlinear fractional differential equations with delay

Pub Date : 2023-01-01 DOI:10.2298/fil2302567c
Tawanda Chakuvinga, F. Topal
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Abstract

In this study, we consider integral boundary value problems of nonlinear fractional differential equations with finite delay. Existence results of positive solutions for the problems are obtained on the basis of the Guo-Krasnoselskii theorem and the Leggett-Williams fixed point theorem. Comprehensive examples follow the main results in the respective sections.
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非线性时滞分数阶微分方程积分边值问题的正解
本文研究有限时滞非线性分数阶微分方程的积分边值问题。利用Guo-Krasnoselskii定理和Leggett-Williams不动点定理,得到了问题正解的存在性结果。在各部分的主要结果之后是综合示例。
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