Eigenvalue intervals for nonlocal fractional order differential equations involving derivatives |
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Authors: | Yuejin Zhang Yanhua Gu |
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Institution: | 1.Basic Research Department, College of information & Business,Zhongyuan University of Technology,Zhengzhou,People’s Republic of China |
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Abstract: | In this paper, we firstly consider the nonlocal fractional order differential equations involving derivatives. By means of a fixed-point theorem on a cone, the eigenvalue intervals of the above problem are established. Then by using a fixed point theorem for operators on a cone, we establish sufficient conditions for the existence of multiple (at least three) positive solutions to the nonlocal boundary value problem. |
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