Fractional semilinear differential inclusions

被引：24

作者：

Ouahab, Abdelghani ^{[1
]}

机构：

[1] Sidi Bel Abbes Univ, Math Lab, Sidi Bel Abbes 22000, Algeria

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 64卷 / 10期

关键词：

Fractional differential inclusions; Fractional derivative; Fractional integral; Fixed point; Compactness; Absolute retract; EXISTENCE; OPERATORS; CALCULUS;

D O I：

10.1016/j.camwa.2012.03.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first present a version of Filippov's Theorem for fractional semilinear differential inclusions of the form, {((c)D(alpha)y - Ay)(t) is an element of F(t, y(t)), a.e. t is an element of [0, b], y(0) = y(0) is an element of X, where D-c(alpha) is the Caputo fractional derivative and F is a set-valued map. After several existence results, the compactness of solutions sets is also investigated. Some results from topological fixed point theory together with notions of measure of noncompactness are used. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：3235 / 3252

页数：18

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