CAPUTO FRACTIONAL DIFFERENTIAL INCLUSIONS OF ARBITRARY ORDER WITH NONLOCAL INTEGRO-MULTIPOINT BOUNDARY CONDITIONS

被引：8

作者：

Ahmad, Bashir ^{[1
]}

Garout, Doa'a ^{[1
]}

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

Alsaedi, Ahmed ^{[1
]}

机构：

[1] Fac Sci, 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：

MISKOLC MATHEMATICAL NOTES | 2019年 / 20卷 / 02期

关键词：

Caputo fractional derivative; fractional differential inclusions; existence; fixed point theorems; RELAXATION; EQUATIONS; SYSTEMS; SET;

D O I：

10.18514/MMN.2019.2241

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a new class of boundary value problems of Caputo type fractional differential inclusions supplemented with nonlocal integro-multipoint boundary conditions. An existence result for the problem with convex valued (multivalued) map is obtained via nonlinear alternative of Leray-Schauder type, while the existence of solutions for the problem involving nonconvex valued map is established by means of Wegrzyk's fixed point theorem. Our results are well illustrated with examples.

引用

页码：683 / 699

页数：17

共 35 条

[1] Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities [J].