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Journal of Function Spaces
Volume 2019, Article ID 5923490, 6 pages
Research Article

The Unique Positive Solution for Singular Hadamard Fractional Boundary Value Problems

1School of Mathematics, Qufu Normal University, Qufu, Shandong, 273165, China
2Department of Mathematics, Jining University, Qufu, Shandong, 273155, China

Correspondence should be addressed to Jinxiu Mao; moc.361@2891uixnijoam

Received 21 February 2019; Accepted 31 May 2019; Published 20 June 2019

Guest Editor: Pedro Garrancho

Copyright © 2019 Jinxiu Mao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this paper, we investigate singular Hadamard fractional boundary value problems. The existence and uniqueness of the exact iterative solution are established only by using an iterative algorithm. The iterative sequences have been proved to converge uniformly to the exact solution, and estimation of the approximation error and the convergence rate have also been derived.