EXISTENCE RESULT FOR A PROBLEM INVOLVING ψ-RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE ON UNBOUNDED DOMAIN

被引：1

作者：

Benia, Kheireddine ^{[1
]}

Beddani, Moustafa ^{[1
]}

Feckan, Michal ^{[2
,3
]}

Hedia, Benaouda ^{[4
]}

机构：

[1] Djillali Liabes Univ Sidi Bel Abbes, Dept Math, POB 89, Sidi Bel Abbes 22000, Algeria

[2] Univ Bratislava Mlynska Dolina, Dept Math Anal & Numer Math Comenius, Bratislava 84248, Slovakia

[3] Slovak Acad Sci, Math Inst, Stefanikova 49, Bratislava 81473, Slovakia

[4] Univ Tiaret, Lab Math & Comp Sci, POB 78, Tiaret 14000, Algeria

来源：

DIFFERENTIAL EQUATIONS & APPLICATIONS | 2022年 / 14卷 / 01期

关键词：

Measure of non-compactness; Meir-Keeler condensing operators; special Banach space; fixed point theorem; psi-Riemann-Liouville fractional derivative; INTEGRODIFFERENTIAL EQUATIONS; DIFFERENTIAL-EQUATION; CAUCHY-PROBLEM; SYSTEM;

D O I：

10.7153/dea-2022-14-06

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the the existence of solution sets and its topological structure for a fractional differential equation with-Riemann-Liouville fractional derivative on (0,infinity) in a special Banach space. Our approach is based on a fixed point theorem for Meir-Keeler condensing operators combined with measure of non-compactness. An example is given to illustrate our approach.

引用

页码：83 / 97

页数：15

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