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

页码：6278 / 6292

页数：15

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