Qualitative properties of solution for hybrid nonlinear fractional differential equations

被引：0
作者：
Mohammed M. Matar
机构：
[1] Al-Azhar University-Gaza,Department of Mathematics
来源：
Afrika Matematika | 2019年 / 30卷
关键词：
Fractional differential equations; Positive solution; Control functions; Existence; Uniqueness; Monotonicity; Dhage; 26A33; 34A12; 34G20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article we investigate some qualitative properties for a class of hybrid nonlinear fractional differential equations. The existence, uniqueness, monotonicity and positivity of the solution are studied by the method of upper and lower control functions and using Dhage fixed point theorem. Some examples are introduced to illustrate the applicability of the results.
引用
收藏
页码：1169 / 1179
页数：10
相关论文
共 36 条
[1]  
Abdeljawad T(2017)A generalized Lyaponuv-type inequality in the frame of conformable derivatives Adv. Differ. Equ. 2017 321-2767
[2]  
Alzabut J(2015)Existence results for fractional differential equations of arbitrary order with nonlocal integral boundary conditions Bound. Value Probl. 2015 220-611
[3]  
Jarad F(2009)Existence of positive solution for singular fractional differential equation Appl. Math. Comput. 215 2761-424
[4]  
Ahmad B(2016)Positive solutions for nonlinear fractional differential equations Positivity 25 603-1392
[5]  
Matar MM(1988)On some variants of Schauder’s fixed point principle and applications to nonlinear integral equations J. Math. Phys. Sci. 4 414-3471
[6]  
Agarwal RP(2010)Basic results on hybrid differential equations Nonlinear Anal. Hybrid 21 1383-11
[7]  
Bai ZB(2017)Criterion of positivity for semilinear problems with applications in biology Positivity 226 3457-854
[8]  
Qiu TT(2017)Generalized fractional derivatives generated by a class of local proportional derivatives Eur. Phys. J. Spec. Top. 3 1-7
[9]  
Boulares H(2008)Positive solutions of a boundary value problem for a nonlinear fractional differential equation Electron. J. Qual. Theory Differ. Equ. 33B 847-466
[10]  
Ardjouni A(2013)New existence results of positive solution for a class of nonlinear fractional differential equations Acta Math. Sci. 155 1-1361
1234