Positive solutions for an oscillator fractional initial value problem

被引：0
作者：
Amar Chidouh
Assia Guezane-Lakoud
Rachid Bebbouchi
机构：
[1] Houari Boumedienne University,Laboratory of Dynamic Systems
[2] Badji Mokhtar-Annaba University,Laboratory of Advanced Materials
来源：
Journal of Applied Mathematics and Computing | 2017年 / 54卷
关键词：
Fractional differential equations; Volterra integral equation; Initial value problem; Laplace transform; Mittag-Leffler function; Fixed point theorem; 34A08; 34A12; 26A33;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we will study a fractional initial value problem. By using Laplace transform, we obtain an equivalent fixed point problem, that is a Volterra integral equation involving the generalized Mittag-Leffler function in the kernel. The existence results are obtained by some fixed point theorems.
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页码：57 / 68
页数：11
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