Positive Solutions for Higher-Order Nonlinear Fractional Differential Equations

被引：3
|
作者：
Souahi A. [1 ]
Guezane-Lakoud A. [2 ]
Hitta A. [1 ]
机构：
[1] Laboratory of Applied Mathematics and Modeling, University of 8 May 1945 Guelma, P.O. Box 401, Guelma
[2] Laboratory of Advanced Materials, University Badji Mokhtar-Annaba, P.O. Box 12, Annaba
来源：
Vietnam Journal of Mathematics | 2017年 / 45卷 / 3期
关键词：
Boundary value problem; Fixed point theorem Guo–Krasnoselskii; Fractional derivative; Fractional differential equation; Positive solution;
D O I：
10.1007/s10013-016-0218-7
中图分类号：
学科分类号：
摘要：
This paper investigates the existence of positive solutions for a class of higher-order nonlinear fractional differential equations with initial conditions given for ordinary as well as fractional derivatives of the unknown function. We assume that the nonlinear term f involves also derivatives of fractional order. The results are established by converting the problem into an equivalent integral equation and applying Guo–Krasnoselskii’s fixed-point theorem in cones. © 2016, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.
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页码：441 / 450
页数：9
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