Existence results and the monotone iterative technique for nonlinear fractional differential systems involving fractional integral boundary conditions

被引:0
作者
Ying He
机构
[1] Northeast Petroleum University,School of Mathematics and Statistics
来源
Advances in Difference Equations | / 2017卷
关键词
fractional differential system; upper and lower solutions; monotone iterative technique; integral boundary conditions; 34B15;
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学科分类号
摘要
By establishing a comparison result and using the monotone iterative technique combined with the method of upper and lower solutions, we have investigated the existence of extremal solutions for nonlinear fractional differential systems with integral boundary conditions. As an example, an application is presented to demonstrate the accuracy of the new approach.
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[1]  
Wang G(2012)Monotone iterative technique for boundary value problems of a nonlinear fractional equation with deviating arguments J. Comput. Appl. Math. 236 2425-2430
[2]  
Wang G(2012)Existence results and the monotone iterative technique for systems of nonlinear fractional differential equations Appl. Math. Lett. 25 1019-1024
[3]  
Agarwal RP(2015)Explicit iterations and extremal solutions for fractional differential equations with nonlinear integral boundary conditions Appl. Math. Comput. 268 388-392
[4]  
Cabada A(2014)The existence of an extremal solution to a nonlinear system with the right-handed Riemann-Liouville fractional derivative Appl. Math. Lett. 31 1-6
[5]  
Zhang L(2014)Boundary problems for fractional differential equations Appl. Math. Lett. 28 14-19
[6]  
Ahmad B(2015)Monotone iterative solutions for nonlinear fractional differential systems with deviating arguments Appl. Math. Comput. 262 1-14
[7]  
Wang G(2017)The method of lower and upper solutions for mixed fractional four-point boundary value problem with Appl. Math. Lett. 65 56-62
[8]  
Zhang L(2015)-Laplacian operator Appl. Math. Lett. 17 1-7
[9]  
Ahmad B(2014)Explicit iteration and unbounded solutions for fractional integral boundary value problem on an infinite interval Abstr. Appl. Anal. 2014 undefined-undefined
[10]  
Wang G(undefined)Existence of solutions for Riemann-Liouville fractional boundary value problem undefined undefined undefined-undefined