Existence and nonexistence of positive solutions for Dirichlet-type boundary value problem of nonlinear fractional differential equation


Authors

Xinyi Liu - School of Mathematics and Statistics, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin 130024, P. R. China. Zhijun Zeng - School of Mathematics and Statistics, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin 130024, P. R. China.


Abstract

In this paper, we investigate the existence and nonexistence of positive solutions for nonlinear fractional differential equation boundary value problem. By means of fixed-point theorems on a cone and the properties of Green function, some sufficient criteria are established. Our results can be considered as an extension of some previous results.


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ISRP Style

Xinyi Liu, Zhijun Zeng, Existence and nonexistence of positive solutions for Dirichlet-type boundary value problem of nonlinear fractional differential equation, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 3, 1051--1063

AMA Style

Liu Xinyi, Zeng Zhijun, Existence and nonexistence of positive solutions for Dirichlet-type boundary value problem of nonlinear fractional differential equation. J. Nonlinear Sci. Appl. (2017); 10(3):1051--1063

Chicago/Turabian Style

Liu, Xinyi, Zeng, Zhijun. "Existence and nonexistence of positive solutions for Dirichlet-type boundary value problem of nonlinear fractional differential equation." Journal of Nonlinear Sciences and Applications, 10, no. 3 (2017): 1051--1063


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