Nonlinear fractional differential inclusions with non-singular Mittag-Leffler kernel

被引：24

作者：

Abbas, Mohamed I. ^{[1
]}

Ragusa, Maria Alessandra ^{[2
,3
]}

机构：

[1] Alexandria Univ, Fac Sci, Dept Math & Comp Sci, Alexandria 21511, Egypt

[2] Univ Catania, Dipartimento Matemat & Informat, Catania, Italy

[3] RUDN Univ, 6 Miklukho Maklay St, Moscow 117198, Russia

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 11期

关键词：

Atangana-Baleanu fractional derivatives; measure of non-compactness; Mo?nch fixed point theorem; BOUNDARY-VALUE-PROBLEMS; NONCOMPACTNESS; DERIVATIVES; SPACE;

D O I：

10.3934/math.20221113

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the existing article, the existence of solutions to nonlinear fractional differential inclusions in the sense of the Atangana-Baleanu-Caputo (ABC) fractional derivatives in Banach space is studied. The investigation of the main results relies on the set-valued issue of Mo center dot nch fixed point theorem incorporated with the Kuratowski measure of non-compactness. A simulated example is proposed to explain the obtained results.

引用

页码：20328 / 20340

页数：13

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