On a fractional boundary value problem in a weighted space

被引：0
|
作者：
Guezane-Lakoud A. [1 ]
Rodríguez-López R. [2 ]
机构：
[1] Laboratory of Advanced Materials, Department of Mathematics, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, Annaba
[2] Departamento de Estadística, Análisis Matemático y Optimización, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela
来源：
SeMA Journal | 2018年 / 75卷 / 3期
关键词：
Existence of solution; Fixed point theorem; Fractional derivative; Integral equation;
D O I：
10.1007/s40324-017-0142-0
中图分类号：
学科分类号：
摘要：
In this paper, we prove the existence of solutions for a boundary value problem involving both left Riemann–Liouville and right Caputo fractional derivatives in a weighted space. For this, we convert the posed problem to a sum of of a contraction and a compact operator, then we apply Krasnoselskii’s fixed point theorem to conclude the existence of a nontrivial solution. We end the paper by some numerical examples illustrating the obtained results. © 2017, Sociedad Española de Matemática Aplicada.
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收藏
页码：435 / 443
页数：8
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