EXISTENCE OF SOLUTIONS FOR A FRACTIONAL HYBRID BOUNDARY VALUE PROBLEM VIA MEASURES OF NONCOMPACTNESS IN BANACH ALGEBRAS

被引：0

作者：

Caballero, Josefa ^{[3
]}

Darwish, Mohamed Abdalla ^{[1
,2
]}

Sadarangani, Kishin ^{[3
]}

机构：

[1] King Abdulaziz Univ, Sci Fac Girls, Dept Math, Jeddah 21413, Saudi Arabia

[2] Damanhour Univ, Fac Sci, Dept Math, Damanhour, Egypt

[3] Univ Las Palmas Gran Canaria, Dept Matemat, Baja 35017, Las Palmas De G, Spain

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2014年 / 43卷 / 02期

关键词：

Banach algebras; Riemann-Liouville fractional derivative; measure of noncompactness; hybrid boundary value problem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of solutions for the following fractional hybrid boundary value problem [GRAPHICS] where 1 < alpha <= 2 and D-0+(alpha) denotes the Riemann-Liouville fractional derivative. The main tool is our study is the technique of measures of noncompactness in the Banach algebras. Some examples are presented to illustrate our results. Finally, we compare the results of paper with the ones obtained by other authors.

引用

页码：535 / 548

页数：14

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