Mild solutions for impulsive fractional differential inclusions with Hilfer derivative in Banach spaces

被引：0
|
作者：
Hammoumi, Ibtissem [1 ]
Hammouche, Hadda [1 ]
Salim, Abdelkrim [2 ,3 ]
Benchohra, Mouffak [2 ]
机构：
[1] Univ Ghardaia, Lab Math & Appl Sci, Ghardaia 47000, Algeria
[2] Univ Djillali Liabes Sidi Bel Abbes, Lab Math, Sidi Bel Abbes 22000, Algeria
[3] Hassiba Benbouali Univ, Fac Technol, Chlef 02000, Algeria
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2024年 / 73卷 / 02期
关键词：
Hilfer derivative; Impulses; Differential inclusions; Multivalued jump; Banach space; Fixed point; Fractional calculus; INTEGRODIFFERENTIAL EQUATIONS; STABILITY;
D O I：
10.1007/s12215-023-00944-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the existence of mild solution for impulsive fractional differential inclusions in Banach spaces involving the Hilfer derivative. Our study is based on the nonlinear alternative of Leray-Schauder type for multivalued maps due to Martelli. An example will be added to illustrate the main result.
引用
收藏
页码：637 / 650
页数：14
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