Existence of Concave Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with -Laplacian Operator

Jinhua Wang, Hongjun Xiang and ZhiGang Liu

International Journal of Mathematics and Mathematical Sciences, 2010, vol. 2010, 1-17

Abstract:

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:495138

DOI: 10.1155/2010/495138

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