Multiple Solutions of Nonlinear Boundary Value Problems for Fractional Differential Equations

作者：Liu, Zhenhai^*; Liang, Jitai

来源：Bulletin of the Malaysian Mathematical Sciences Society, 2014, 37(1): 239-248.

• Caputo fractional derivative
• upper and lower solutions
• multiple solutions
• Amann theorem

In this paper, we study nonlinear boundary value problems of fractional differential equations.
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where Do+ denotes the Caputo fractional derivative, 0 < q <= 1. Some new results on the multiple solutions are obtained by the use of the Amann theorem and the method of upper and lower solutions. An example is also given to illustrate our results.

• 出版日期2014
• 单位广西民族大学; 哈尔滨工业大学; 云南师范大学