Monotone iterative technique for a coupled system of nonlinear Hadamard fractional differential equations

被引：1
作者：
Wengui Yang
机构：
[1] Southeast University,School of Mathematics
[2] Sanmenxia Polytechnic,Department of Public Education
来源：
Journal of Applied Mathematics and Computing | 2019年 / 59卷
关键词：
Hadamard fractional differential equations; Extremal solutions; Monotone iterative technique; Upper and lower solutions; 34B18; 26A33; 34A34;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we investigate the extremal solutions for a coupled system of nonlinear Hadamard fractional differential equations with Cauchy initial value conditions. By using the comparison principle and the monotone iterative technique combined with the method of upper and lower solutions, we obtain the existence and iterative methods of extremal solution to the system. Finally, an example with numerical simulation is given to show the effectiveness of our main results.
引用
收藏
页码：585 / 596
页数：11
相关论文
共 53 条
[1]  
Agarwal RP(2017)Fractional differential equations with nonlocal (parametric type) anti-periodic boundary conditions Filomat 31 1207-1214
[2]  
Ahmad B(2009)Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions Bound. Value Problems 2009 708576-131
[3]  
Nieto JJ(2015)On Hadamard fractional integro-differential boundary value problems J. Appl. Math. Comput. 47 119-360
[4]  
Ahmad B(2014)A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations Fract. Calc. Appl. Anal. 17 348-1249
[5]  
Nieto JJ(2013)New results for boundary value problems of Hadamard-type fractional differential inclusions and integral boundary conditions Bound. Value Problems 2013 275-46
[6]  
Ahmad B(2017)Existence and uniqueness results for a class of fractional differential equations with an integral fractional boundary condition Filomat 31 1241-411
[7]  
Ntouyas SK(2016)A coupled system of Hadamard type sequential fractional differential equations with coupled strip conditions Chaos Soliton Fract. 91 39-508
[8]  
Ahmad B(2015)Nonlinear Hadamard fractional differential equations with Hadamard type nonlocal non-conserved conditions Adv. Differ. Equ. 2015 285-62
[9]  
Ntouyas SK(2012)Positive solutions of nonlinear fractional differential equations with integral boundary value conditions J. Math. Anal. Appl. 389 403-5089
[10]  
Ahmad B(2016)Analysis of nonlinear Hadamard fractional differential equations via properties of Mittag–Leffler functions J. Appl. Math. Comput. 51 487-33
123456