Existence of Solutions for Anti-Periodic Fractional Differential Inclusions Involving ψ-Riesz-Caputo Fractional Derivative

被引：5
|
作者：
Yang, Dandan [1 ]
Bai, Chuanzhi [1 ]
机构：
[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Jiangsu, Peoples R China
来源：
MATHEMATICS | 2019年 / 7卷 / 07期
关键词：
fractional differential inclusions; psi-Riesz-Caputo derivative; existence of solutions; fixed point theorem; anti-periodic boundary value problems; EQUATIONS; RESPECT; TERMS;
D O I：
10.3390/math7070630
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the existence of solutions for a class of anti-periodic fractional differential inclusions with psi-Riesz-Caputo fractional derivative. A new definition of psi-Riesz-Caputo fractional derivative of order alpha is proposed. By means of Contractive map theorem and nonlinear alternative for Kakutani maps, sufficient conditions for the existence of solutions to the fractional differential inclusions are given. We present two examples to illustrate our main results.
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页数：15
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