Positive solution of singular fractional differential system with nonlocal boundary conditions
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This article is published under the Open Access publishing model and distributed under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ Please refer to the licence to obtain terms for any further reuse or distribution of this work.
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Abstract
In this paper, we consider the existence of positive solutions for a singular fractionaldifferential system involving a nonlocal boundary condition which is given by a linearfunctional on C[0, 1] with a signed measure. By looking for the upper and lowersolutions of the system, the sufficient condition of the existence of positive solutionsis established; some further cases are discussed. This is proved in the case of strongsingularity and with a signed measure.
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