Existence results for Riemann-Liouville fractional evolution inclusions in Banach spaces

被引：5

作者：

Dads, El Hadi Ait ^{[1
,2
]}

Benyoub, Mohammed ^{[3
]}

Ziane, Mohamed ^{[4
]}

机构：

[1] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, BP 2390, Marrakech, Morocco

[2] Sorbonne Univ, UMMISCO, IRD, UMI 209, Bondy, France

[3] Ecole Normale Super Taleb Abderrahmane, Dept Math, BP 4033, Laghouat 03000, Algeria

[4] Ibn Khaldoun Univ, Fac Math & Informat, BP 78, Tiaret 14000, Algeria

来源：

AFRIKA MATEMATIKA | 2021年 / 32卷 / 1-2期

关键词：

Fractional evolution inclusions; Riemann-Liouville fractional derivatives; Mild solutions; Multivalued map; Condensing map; Measure of noncompactness;

D O I：

10.1007/s13370-020-00828-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this work is to study the existence of mild solution for semi-linear fractional evolution inclusions involving Riemann-Liouville derivative in Banach space. We prove our main result by introducing a regular measure of noncompactness in weighted space of continuous functions and using the condensing multivalued maps theory. Our result improve and complement several earlier related works. An example is given to illustrate the applications of the abstract result.

引用

页码：317 / 331

页数：15

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