Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line

被引：6
|
作者：
Benchohra, Mouffak [1 ]
Graef, John R. [2 ]
Guerraiche, Nassim [3 ]
Hamani, Samira [3 ]
机构：
[1] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria
[2] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA
[3] Univ Mostaganem, Lab Math Appliques & Pures, BP 227, Mostaganem 27000, Algeria
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 06期
关键词：
existence; fractional differential inclusions; Caputo-Hadamard type derivative; diagonalization method;
D O I：
10.3934/math.2021368
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The authors establish sufficient conditions for the existence of solutions to a boundary value problem for fractional differential inclusions involving the Caputo-Hadamard type derivative of order r is an element of (1, 2] on infinite intervals. Both cases of convex and nonconvex valued right hand sides are considered. The technique of proof involves fixed point theorems combined with a diagonalization method.
引用
收藏
页码：6278 / 6292
页数：15
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