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Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and p-Laplacian operator

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Authors
Hao, X.
Wang, H.
Liu, Lishan
Cui, Y.
Date
2017
Type
Journal Article

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Hao, X. and Wang, H. and Liu, L. and Cui, Y. 2017. Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and p-Laplacian operator. Boundary Value Problems. 2017 (1): Article ID 182.
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Boundary Value Problems
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School of Electrical Engineering, Computing and Mathematical Science (EECMS)
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Abstract

In this paper, we investigate the existence of positive solutions for a system of nonlinear fractional differential equations nonlocal boundary value problems with parameters and p-Laplacian operator. Under different combinations of superlinearity and sublinearity of the nonlinearities, various existence results for positive solutions are derived in terms of different values of parameters via the Guo-Krasnosel’skii fixed point theorem.

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