A six-point nonlocal boundary value problem of nonlinear coupled sequential fractional integro-differential equations and coupled integral boundary conditions

被引：0
作者：
Bashir Ahmad
Ahmed Alsaedi
Shorog Aljoudi
Sotiris K. Ntouyas
机构：
[1] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM)
[2] University of Ioannina,Research Group, Department of Mathematics, Faculty of Science
来源：
Journal of Applied Mathematics and Computing | 2018年 / 56卷
关键词：
Caputo derivative; Coupled system; Six-point; Riemann–Liouville; Integral boundary conditions; Existence; 34A08; 34A12; 34B15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper studies the existence of solutions for a six-point boundary value problem of coupled system of nonlinear Caputo (Liouville–Caputo) type sequential fractional integro-differential equations supplemented with coupled nonlocal Riemann–Liouville integral boundary conditions. Our results are based on some classical results of the fixed-point theory. An example is constructed to demonstrate the application of our work. Some interesting observations are also presented.
引用
收藏
页码：367 / 389
页数：22
相关论文
共 64 条
[1]  
Alsaedi A(2016)Blowing-up solutions for a nonlinear time-fractional system Bull. Math. Sci. 66 2019-2029
[2]  
Ahmad B(2013)Numerical and analytical solutions of new generalized fractional diffusion equation Comput. Math. Appl. 98 27-47
[3]  
Kirane M(2014)On the Cauchy problem for a general fractional porous medium equation with variable density Nonlinear Anal. 22 2211-2221
[4]  
Musalhi F(2016)Anisotropic fractional diffusion tensor imaging J. Vib. Control 84 3-7
[5]  
Alzahrani F(2016)Nonlinear dynamics for local fractional Burgers’ equation arising in fractal flow Nonlinear Dyn. 46 46-53
[6]  
Xu Y(2013)Eigenvalue problems for fractional ordinary differential equations Chaos Solitons Fractals 12 911-922
[7]  
He Z(2014)On the nonlocal Cauchy problem for semilinear fractional order evolution equations Central Eur. J. Math. 17 872-880
[8]  
Agrawal Om P(2014)Eigenvalue comparison for fractional boundary value problems with the Caputo derivative Fract. Calc. Appl. Anal. 15 149-158
[9]  
Punzo F(2016)Existence and approximation of positive solutions for nonlinear fractional integro-differential boundary value problems on an unbounded domain Appl. Comput. Math. 110 159-172
[10]  
Terrone G(2016)Some fractional-order one-dimensional semi-linear problems under nonlocal integral boundary conditions RACSAM Rev. Real Acad. Cienc. Exactas Fsicas Nat. Ser. A Mat. 50 157-174
1234567