Existence Results for Sequential Riemann-Liouville and Caputo Fractional Differential Inclusions with Generalized Fractional Integral Conditions

被引：7

作者：

Tariboon, Jessada ^{[1
]}

Ntouyas, Sotiris K. ^{[2
,3
]}

Ahmad, Bashir ^{[3
]}

Alsaedi, Ahmed ^{[3
]}

机构：

[1] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Intelligent & Nonlinear Dynam Innovat Res Ctr, Dept Math, Bangkok 10800, Thailand

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

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

来源：

MATHEMATICS | 2020年 / 8卷 / 06期

关键词：

Riemann-Liouville fractional derivative; Caputo fractional derivative; inclusions; endpoint theory; generalized fractional integral; Krasnosel'skii's multi-valued fixed point theorem; Wegrzyk's fixed point theorem; HADAMARD; SYSTEMS; ORDER;

D O I：

10.3390/math8061044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under different criteria, we prove the existence of solutions for sequential fractional differential inclusions containing Riemann-Liouville and Caputo type derivatives and supplemented with generalized fractional integral boundary conditions. Our existence results rely on the endpoint theory, the Krasnosel'skii's fixed point theorem for multivalued maps and Wegrzyk's fixed point theorem for generalized contractions. We demonstrate the application of the obtained results with the help of examples.

引用

页数：17

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