Qiuyan Zhong, Xingqiu Zhang, "Successive Iteration and Positive Solutions for Nonlocal Higher-Order Fractional Differential Equations with p-Laplacian," WSEAS Transactions on Mathematics, vol. 17, pp. 74-79, 2018, DOI:
Qiuyan Zhong, Xingqiu Zhang. Successive Iteration and Positive Solutions for Nonlocal Higher-Order Fractional Differential Equations with p-Laplacian.
WSEAS Transactions on Mathematics. 2018;17:74-79.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 17, 2018
Successive Iteration and Positive Solutions for Nonlocal Higher-Order Fractional Differential Equations with p-Laplacian
Authors: ,
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
Pages: 74-79 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #11 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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