Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations
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Open access via publisher
Authors
Wang, Y.
Liu, Lishan
Date
2015Type
Journal Article
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Wang, Y. and Liu, L. 2015. Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations. Advances in Difference Equations. 2015 (1).
Source Title
Advances in Difference Equations
ISSN
School
Department of Mathematics and Statistics
Collection
Abstract
© 2015, Wang and Liu.In this paper, we discuss the existence of positive solution to singular fractional differential equations involving Caputo fractional derivative. Necessary and sufficient condition for the existence of C<sup>2</sup>[0,1] positive solution is obtained by means of the fixed point theorems on cones. In addition, the uniqueness results and the iterative sequences of the solution are also given.
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