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Existence of positive solution to boundary value problem of fractional differential equations with \(p\)-Laplacian operator

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Abstract

In this paper, we study the existence of positive solution to boundary value problem of fractional differential equations with \(p\)-Laplacian operator. By using some fixed-point theorems on a convex cone, the new existence results of positive solution are obtained. In addition, an example is included to demonstrate the main result.

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Acknowledgments

Project supported by Hunan Provincial Natural Science Foundation of China (11JJ3009); was also supported the Construct Program of the Key Discipline in Hunan Province.

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  1. Department of Mathematics, Xiangnan University, Hunan, 423000, Chenzhou, People’s Republic of China

    Yuansheng Tian & Xiaoping Li

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  1. Yuansheng Tian
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  2. Xiaoping Li
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Correspondence to Yuansheng Tian.

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Tian, Y., Li, X. Existence of positive solution to boundary value problem of fractional differential equations with \(p\)-Laplacian operator. J. Appl. Math. Comput. 47, 237–248 (2015). https://doi.org/10.1007/s12190-014-0772-7

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  • DOI: https://doi.org/10.1007/s12190-014-0772-7

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