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具有p-Laplacian算子的分数阶微分方程边值问题

Boundary value problems for fractional differential equation with p-Laplacian operator
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摘要 在一定条件下,利用Banach压缩映射原理讨论了具有p-Laplacian算子的分数阶微分方程边值问题解的存在性和唯一性,得到了解存在和唯一的充分条件,并举例说明了结论的适用性。 This paper introduces the study on the existence and uniqueness, of solutions for fractional boundary value problems for a fractional differential equations of p-Laplacian operator by applying Banach contraction principle, given certain conditions, offers the sufficient conditions for the existence and uniqueness of solutions, and ends with several examples given to illustrate the results.
作者 张宁 史小艺 张娣
机构地区 中国矿业大学理学院 中国矿业大学管理学院
出处 《黑龙江科技学院学报》 CAS 2012年第5期537-544,共8页 Journal of Heilongjiang Institute of Science and Technology
基金 国家自然科学基金项目(10771212)
关键词 分数阶微分方程 P-LAPLACIAN算子 BANACH压缩映射原理 fractional differential equations p-Laplacian operator Banach contraction principle
分类号 O175 [理学—基础数学]
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参考文献9

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黑龙江科技学院学报
2012年 第5期

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