Existence of Concave Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p-Laplacian Operator
Existence of Concave Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p-Laplacian Operator
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DOI：
10.1155/2010/495138
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发表时间：
2010-06
期刊：
影响因子：
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通讯作者：
Jinhua Wang;Hongjun Xiang;Zhigang Liu
中科院分区：
文献类型：
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作者：
Jinhua Wang;Hongjun Xiang;Zhigang Liu
研究了具有-Laplacian算子的非线性分数阶微分方程边值问题凹正解的存在性和多解性，其中，表示Caputo导数，是连续函数，.利用不动点定理，得到了上述边值问题凹正解的存在性和多解性结果。最后，通过一个实例说明了本文方法的有效性.
We consider the existence and multiplicity of concave positive solutions for boundary value problem of nonlinear fractional differential equation with -Laplacian operator , , , , , where , , , denotes the Caputo derivative, and is continuous function, , , . By using fixed point theorem, the results for existence and multiplicity of concave positive solutions to the above boundary value problem are obtained. Finally, an example is given to show the effectiveness of our works.