Positive solutions for fractional differential systems with nonlocal Riemann–Liouville fractional integral boundary conditions

In this paper, we study the positive solutions of fractional differential system with coupled nonlocal Riemann–Liouville fractional integral boundary conditions. Our analysis relies on Leggett–Williams and Guo–Krasnoselskii’s fixed point theorems. Two examples are worked out to illustrate our main r...

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Bibliographic Details
Published in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2017-09, Vol.21 (3), p.825-845
Main Authors: Neamprem, Khomsan, Muensawat, Thanadon, Ntouyas, Sotiris K., Tariboon, Jessada
Format: Article
Language:English
Subjects:
Boundary conditions
Calculus of Variations and Optimal Control
Optimization
Econometrics
Fixed points (mathematics)
Fourier Analysis
Integrals
Mathematics
Mathematics and Statistics
Operator Theory
Potential Theory
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Summary:In this paper, we study the positive solutions of fractional differential system with coupled nonlocal Riemann–Liouville fractional integral boundary conditions. Our analysis relies on Leggett–Williams and Guo–Krasnoselskii’s fixed point theorems. Two examples are worked out to illustrate our main results.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-016-0433-1