包含左、右分数导数的p-Laplacian系统正解的存在性

S. Ramdane, A. Guezane-Lakoud
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引用次数: 1

摘要

目的研究一类具有p-拉普拉斯算子的非线性分数阶微分方程耦合系统正解的存在性,该系统既有右Riemann-Liouville阶导数,也有左caputo阶导数。在次线性情况下,利用锥上的Guo-Krasnosel’skii不动点定理得到了存在性结果。此外,还包括一个示例来说明主要结果。设计/方法/ approachFixed-point定理。FindingsNo发现。获得的结果是原创的。
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Existence of positive solutions for p-Laplacian systems involving left and right fractional derivatives
PurposeThe paper deals with the existence of positive solutions for a coupled system of nonlinear fractional differential equations with p-Laplacian operator and involving both right Riemann–Liouville and left Caputo-type fractional derivatives. The existence results are obtained by the help of Guo–Krasnosel'skii fixed-point theorem on a cone in the sublinear case. In addition, an example is included to illustrate the main results.Design/methodology/approachFixed-point theorems.FindingsNo finding.Originality/valueThe obtained results are original.
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来源期刊
Arab Journal of Mathematical Sciences
Arab Journal of Mathematical Sciences Mathematics-Mathematics (all)
CiteScore
1.20
自引率
0.00%
发文量
17
审稿时长
8 weeks
期刊最新文献
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