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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



Positive Solution for Higher-Order Singular Infinite-Point Fractional Differential Equation with p-Laplacian

AUTHORS: Qiuyan Zhong, Xingqiu Zhang

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ABSTRACT: By means of the method of upper and lower solutions together with the Schauder fixed point theorem, the conditions for the existence of at least one positive solution are established for some higher-order singular infinite-point fractional differential equation with p-Laplacian. The nonlinear term may be singular with respect to both the time and space variables.

KEYWORDS: Fractional differential equations, p-Laplacian, Singularity, Upper and lower solutions, Positive solution

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[9] X. Zhang, Positive solutions for a class of singular fractional differential equation with infinitepoint boundary value conditions, Appl. Math. Lett. 39, 2015, pp. 22-27.

[10] X. Zhang, L. Liu, B. Wiwatanapataphee, Y. Wu, The eigenvalue for a class of singular pLaplacian fractional differential equation, Appl. Math. Comput. 235, 2014, pp. 412-422.

[11] 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.

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[15] T. Chen, W. Liu, Z. Hu, A boundary value problem for fractional differential equation with p-Laplacian operator at resonance, Nonlinear Anal. 75, 2012, pp. 3210-3217.

[16] A. Cabada, S. Stanˇek, Functional fractional boundary value problems with singular ϕ- Laplacian, Appl. Math. Comput. 219, 2012, pp. 1383-1390.

WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #7, pp. 44-50


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