Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative

被引：196

作者：

Wei, Zhongli ^{[1
]}

Li, Qingdong ^{[2
]}

Che, Junling ^{[1
]}

机构：

[1] Shandong Jianzhu Univ, Dept Math, Jinan 250101, Shandong, Peoples R China

[2] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Shandong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 367卷 / 01期

关键词：

Initial value problem; Fractional differential equation; Riemann-Liouville sequential fractional derivatives; Upper solution and lower solution; MONOTONE ITERATIVE TECHNIQUE; BOUNDARY-VALUE-PROBLEMS; INTEGRAL-EQUATIONS; EXISTENCE; UNIQUENESS; 1ST-ORDER; ORDER;

D O I：

10.1016/j.jmaa.2010.01.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we shall discuss the properties of the well-known Mittag-Leffler function, and consider the existence and uniqueness of solution of the initial value problem for fractional differential equation involving Riemann-Liouville sequential fractional derivative by using monotone iterative method. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：260 / 272

页数：13

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