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带p-Laplacian算子非线性分数阶耦合系统边值问题解的存在性

Existence of Solutions to Boundary Value Problem for a Coupled System of Nonlinear Fractional Differential Equations with p-Laplace Operator
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摘要 讨论一类带有p-Laplacian算子非线性分数阶微分方程耦合系统边值问题解的存在性,给出解的存在性条件,利用不动点定理进行讨论. In this paper, we study the existence of solutions to boundary value problem for a coupled system of nonlinear fractional differential equations with p-Laplace operator. By the fixed theorem, we obtain some sufficient conditions for the existence of the new results.
出处 《南华大学学报(自然科学版)》 2016年第1期47-51,54,共6页 Journal of University of South China:Science and Technology
基金 南华大学研究生科研创新基金资助项目(2015XCX15)
关键词 分数阶微分方程 p—Laplacian算子 耦合系统 边值问题 不动点定理 fractional differential equations p-Laplacian operator coupled system boundaryvalue problem fixed point theorem
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