Sequential fractional differential equations with nonlocal boundary conditions on an arbitrary interval

被引：2

作者：

Alghamdi, Najla ^{[1
]}

Ahmad, Bashir ^{[1
]}

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

Alsaedi, Ahmed ^{[1
]}

机构：

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

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

关键词：

Caputo fractional derivative; Riemann-Liouville fractional integral; sequential fractional derivative; existence; fixed point;

D O I：

10.1186/s13662-017-1303-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the existence and uniqueness of solutions for a nonlocal three-point boundary value problem of sequential fractional differential equations on an arbitrary interval [xi, zeta], xi, zeta is an element of R. Our results rely on standard fixed point theorems and are well illustrated with examples. The case for non-homogeneous three-point boundary conditions is also discussed.

引用

页数：10

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