Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions

In this paper, the existence of positive solutions for systems of semipositone singular fractional differential equations with a parameter and integral boundary conditions is investigated. By using fixed point theorem in cone, sufficient conditions which guarantee the existence of positive solutions...

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Bibliographic Details
Published in:Open mathematics (Warsaw, Poland) Poland), 2018-06, Vol.16 (1), p.581-596
Main Authors: Hao, Xinan, Wang, Huaqing
Format: Article
Language:English
Subjects:
26A33
34A08
34B18
Boundary conditions
Differential equations
Existence theorems
Fixed points (mathematics)
Integral boundary conditions
Integrals
Parameters
Positive solutions
Semipositone
Singular fractional differential systems
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Summary:In this paper, the existence of positive solutions for systems of semipositone singular fractional differential equations with a parameter and integral boundary conditions is investigated. By using fixed point theorem in cone, sufficient conditions which guarantee the existence of positive solutions are obtained. An example is given to illustrate the results.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2018-0055