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Qiuyan Zhong
Xingqiu Zhang



Authors and WSEAS

Qiuyan Zhong
Xingqiu Zhang


WSEAS Transactions on Mathematics


Print ISSN: 1109-2769
E-ISSN: 2224-2880

Volume 17, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


Volume 17, 2018



Successive Iteration and Positive Solutions for Nonlocal Higher-Order Fractional Differential Equations with p-Laplacian

AUTHORS: Qiuyan Zhong, Xingqiu Zhang

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ABSTRACT: In this paper, we investigate the existence of positive solutions for higher-order fractional differential equations with p-Laplacian operator and nonlocal boundary conditions. By means of the properties of the corresponding Green function together with monotone iterative technique, we obtain not only the existence of positive solutions for the problems, but also establish iterative schemes for approximating the solutions. The nonlinearity permits singularities at t = 0 and/or t = 1.

KEYWORDS: Fractional differential equations; Integral boundary value problem; p-Laplacian; Positive solution; Successive iteration

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[12] X. Zhang, L. Wang, Q. Sun, Existence of positive solutions for a class of nonlinear fractional differential equations with integral boundary conditions and a parameter, Appl. Math. Comput. 226, 2014, pp. 708-718.

[13] X. Zhang, L. Liu, Y. Wu, Y. Lu, The iterative solutions of nonlinear fractional differential equations, Appl. Math. Comput. 219, 2013, pp. 4680-4691.

[14] S. Li, X. Zhang, Y. Wu, L. Caccetta, Extremal solutions for p-Laplacian differential systems via iterative computation, Appl. Math. Lett. 26, 2013, pp. 1151-1158.

[15] Y. Tian, X. Li, Existence of positive solution to boundary value problem of fractional differential equations with p-Laplacian operator, J. Appl. Math. Comput., 47, 2015, pp. 237-248.

[16] X. Zhang, Positive solutions for singular higherorder fractional differential equations with nonlocal conditions, J. Appl. Math. Comput., 49, 2015, pp. 69-89.

WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #11, pp. 74-79


Copyright © 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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