Weak solutions for fractional Langevin equations involving two fractional orders in banach spaces

被引：4

作者：

Derbazi, Choukri ^{[1
]}

Hammouche, Hadda ^{[2
]}

Salim, Abdelkrim ^{[3
,4
]}

Benchohra, Mouffak ^{[3
]}

机构：

[1] Freres Mentouri Univ Constantine, Fac Exact Sci, Dept Math, Lab Equat Differentielles, Constantine, Algeria

[2] Univ Ghardaia, Lab Math & Appl Sci, Ghardaia 47000, Algeria

[3] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, Sidi Bel Abbes, Algeria

[4] Hassiba Benbouali Univ Chlef, Fac Technol, Chlef, Algeria

来源：

AFRIKA MATEMATIKA | 2023年 / 34卷 / 01期

关键词：

Fractional Langevin equation; Weak solution; Measure of weak noncompactness; Banach space; Pettis integrals; Initial value problem; BOUNDARY-CONDITIONS; EXISTENCE;

D O I：

10.1007/s13370-022-01035-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we look at the existence of weak solutions for fractional Langevin equations with two fractional orders in Banach spaces. The major results are demonstrated by combining Monch's fixed point theorem with the technique of measures of weak noncompactness. Furthermore, an example is presented to show how our findings can be applied.

引用

页数：10

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