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

被引：18

作者：

Ahmad, Bashir ^{[1
]}

Alsaedi, Ahmed ^{[1
]}

Aljoudi, Shorog ^{[1
]}

Ntouyas, Sotiris K. ^{[1
,2
]}

机构：

[1] King Abdulaziz Univ, Dept Math, NAAM Res Grp, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia

[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2018年 / 56卷 / 1-2期

关键词：

Caputo derivative; Coupled system; Six-point; Riemann-Liouville; Integral boundary conditions; Existence; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; CAUCHY-PROBLEM; SYSTEM; EXISTENCE; NONEXISTENCE;

D O I：

10.1007/s12190-016-1078-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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

页码：367 / 389

页数：23

共 32 条

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[9]

[Anonymous], 2003, FIXED POINT THEOR-RO, DOI DOI 10.1007/978-0-387-21593-8

[10]

[Anonymous], 2006, Journal of the Electrochemical Society

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