A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions

被引：745

作者：

Agarwal, Ravi P. ^{[1
]}

Benchohra, Mouffak ^{[2
]}

Hamani, Samira ^{[2
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] Univ Djillali Liabes Sidi Bel Abbes, Math Lab, Sidi Bel Abbes 22000, Algeria

来源：

ACTA APPLICANDAE MATHEMATICAE | 2010年 / 109卷 / 03期

关键词：

Boundary value problem; Initial value problems; Differential equations and inclusions; Caputo fractional derivative; Fractional integral; Existence; Uniqueness; Impulses; Fixed point; Selection; Nonlocal conditions; Integral conditions; COMPLEX DYNAMICS; PREDATOR SYSTEM; ORDER; MODEL; PREY; UNIQUENESS; NETWORKS; MAPPINGS; THEOREMS;

D O I：

10.1007/s10440-008-9356-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this survey paper, we shall establish sufficient conditions for the existence and uniqueness of solutions for various classes of initial and boundary value problem for fractional differential equations and inclusions involving the Caputo fractional derivative. The both cases of convex and nonconvex valued right hand side are considered. The topological structure of the set of solutions is also considered.

引用

页码：973 / 1033

页数：61

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