Existence and uniqueness of solutions for mixed fractional q-difference boundary value problems

被引:0
作者
Lulu Zhang
Shurong Sun
机构
[1] University of Jinan,School of Mathematical Sciences
来源
Boundary Value Problems | / 2019卷
关键词
Boundary value problem; Fractional ; -difference equations; Existence and uniqueness; 65L10; 26A33; 39A13; 34A12;
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摘要
In this paper, we investigate the existence and uniqueness of solutions for mixed fractional q-difference boundary value problems involving the Riemann–Liouville and the Caputo fractional derivative. By using the Guo–Krasnoselskii fixed point theorem and Banach contraction mapping principle as well as Schaefer’s fixed point theorem, we obtain the main results. In addition, several examples are given to illustrate the main results.
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[1]  
Wei Y.(2019)Existence and iterative method for some fourth order nonlinear boundary value problems Appl. Math. Lett. 87 101-107
[2]  
Song Q.(2017)Uniqueness of solution for higher-order fractional differential equations with conjugate type integral conditions Fract. Calc. Appl. Anal. 20 1471-1484
[3]  
Bai Z.(2018)Triple positive solutions for nonlocal fractional differential equations with singularities both on time and space variables Appl. Math. Lett. 80 12-19
[4]  
Zhang X.(2018)New uniqueness results for boundary value problem of fractional differential equation Nonlinear Anal., Model. Control 23 31-39
[5]  
Zhong Q.(2017)Monotone iterative technique for nonlinear boundary value problems of fractional order Adv. Differ. Equ. 2017 6950-6958
[6]  
Zhang X.(2011)Positive solutions for boundary value problems of nonlinear fractional differential equations Appl. Math. Comput. 217 1370-1378
[7]  
Zhong Q.(2011)Existence of solutions for a singular system of nonlinear fractional differential equations Comput. Math. Appl. 62 1175-1187
[8]  
Cui Y.(2018)Positive solutions of fractional differential equations involving the Riemann–Stieltjes integral boundary condition Adv. Differ. Equ. 2018 165-176
[9]  
Ma W.(2014)On the existence of blow up solutions for a class of fractional differential equations Fract. Calc. Appl. Anal. 17 1-10
[10]  
Sun Q.(2018)Positive solutions to fractional boundary-value problems with Bound. Value Probl. 2018 417-437