一类Caputo分数阶微分方程正解存在性,本论文为免费优秀的关于微分方程论文范文资料，可用于相关论文写作参考。
微分方程论文参考文献：
摘 要：为了研究一类带p-Laplacian 算子的Caputo分数阶微分方程边值问题正解的存在性,通过计算得到该问题的格林函数,并讨论其性质.运用单调迭代方法,得到该边值问题至少存在2个正解,最后通过实例验证了此类方程边值问题正解的存在性.
关键词：常微分方程其他学科；Caputo分数阶微分；正解；单调迭代方法；边值问题
中图分类号：O175.1 MSC（2010）主题分类：34B15 文献标志码：A
Abstract： In order to investigate the existence of positive solutions to a class of Caputo fractional differential equation boundary value problems with p-Laplacian operator, the Green’s function is obtained by calculus, and its properties are discussed. By using monotone iterative technique, at least two positive solutions are obtained for the boundary value problems. An example is given to illustrate the existence of positive solutions to this kind of equation boundary value problems.
Keywords：ordinary differential equation； Caputo fractional derivative；positive solution；monotone iteratiation；boundary value problems
参考文献/References：
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结论：关于本文可作为微分方程方面的大学硕士与本科毕业论文微分方程解法论文开题报告范文和职称论文论文写作参考文献下载。
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