Existence result for nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions in Banach spaces

被引：6
|
作者：
Seba, Djamila [1 ]
Rebai, Hamza [2 ]
Henderson, Johnny [3 ]
机构：
[1] FSI Boumerdes Univ, Dynam Engines & Vibroacoust Lab, Boumerdes, Algeria
[2] Univ Sci & Technol Houari Boumediene, Lab Syst Dynam, Bab Ezzouar, Algeria
[3] Baylor Univ, Dept Math, Waco, TX 76798 USA
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2021年 / 28卷 / 01期
关键词：
Caputo fractional derivative; Riemann-Liouville integral; measure of noncompactness; fixed point; Banach space;
D O I：
10.1515/gmj-2019-2009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The nonlinear fractional differential equation with nonlocal fractional integro-differential boundary conditions in Banach spaces is studied, an existence result is obtained by using the method associated with the technique of measures of noncompactness and an appropriate fixed point theorem. An example is given to illustrate the theory.
引用
收藏
页码：141 / 147
页数：7
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