Extremal system of solutions for a coupled system of nonlinear fractional differential equations by monotone iterative method
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Authors
Suli Liu
- School of Mathematics, Jilin University, Changchun, 130012, P. R. China.
Huilai Li
- School of Mathematics, Jilin University, Changchun, 130012, P. R. China.
Abstract
In this paper, we deal with a coupled system of nonlinear fractional differential equations, which involve
the Riemann-Liouville derivatives of different fractional orders. By using the monotone iterative technique
combined with the method of upper and lower solutions, we not only obtain the existence of extremal system
of solutions, but also establish iterative sequences for approximating the solutions. As an application, an
example is given to illustrate our main results.
Share and Cite
ISRP Style
Suli Liu, Huilai Li, Extremal system of solutions for a coupled system of nonlinear fractional differential equations by monotone iterative method, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 3310--3318
AMA Style
Liu Suli, Li Huilai, Extremal system of solutions for a coupled system of nonlinear fractional differential equations by monotone iterative method. J. Nonlinear Sci. Appl. (2016); 9(5):3310--3318
Chicago/Turabian Style
Liu, Suli, Li, Huilai. "Extremal system of solutions for a coupled system of nonlinear fractional differential equations by monotone iterative method." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 3310--3318
Keywords
- Fractional dierential systems
- monotone iterative method
- iterative sequences
- extremal system of solutions.
MSC
References
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