A study of fractional differential equations and inclusions involving generalized Caputo-type derivative equipped with generalized fractional integral boundary conditions

被引：15

作者：

Ahmad, Bashir ^{[1
]}

Alghanmi, Madeaha ^{[1
]}

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

Alsaedi, Ahmed ^{[1
]}

机构：

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

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

来源：

AIMS MATHEMATICS | 2019年 / 4卷 / 01期

关键词：

differential equations and inclusion; generalized Caputo derivative; fractional integral; existence; fixed point; EXISTENCE;

D O I：

10.3934/Math.2019.1.26

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new kind of generalized fractional integral boundary conditions and develop the existence theory for a fractional differential equation involving generalized Caputo-type fractional derivative equipped with these conditions. We also study the inclusion case of the given problem. Examples are constructed to demonstrate the application of the obtained results.

引用

页码：26 / 42

页数：17

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