Approximate Controllability Results for Fractional Semilinear Integro-Differential Inclusions in Hilbert Spaces

被引：47

作者：

Mahmudov, N. I. ^{[1
]}

Murugesu, R. ^{[2
]}

Ravichandran, C. ^{[3
]}

Vijayakumar, V. ^{[4
]}

机构：

[1] Eastern Mediterranean Univ, Dept Math, Tr North Cyprus 10, Mersin, Turkey

[2] SRMV Coll Arts & Sci, Dept Math, Coimbatore 641020, Tamil Nadu, India

[3] KPR Inst Engn & Technol, Dept Math, Coimbatore 641407, Tamil Nadu, India

[4] Info Inst Engn, Dept Math, Coimbatore 641107, Tamil Nadu, India

来源：

RESULTS IN MATHEMATICS | 2017年 / 71卷 / 1-2期

关键词：

Fractional integro-differential inclusions; multivalued map; sectorial operators; nonlocal conditions; Bohnenblust-Karlin's fixed point theorem; EXISTENCE; SYSTEMS;

D O I：

10.1007/s00025-016-0621-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of fractional integro-differential inclusions in Hilbert spaces. This paper deals with the approximate controllability for a class of fractional integro-differential control systems. First, we establishes a set of sufficient conditions for the approximate controllability for a class of fractional semilinear integro-differential inclusions in Hilbert spaces. We use Bohnenblust-Karlin's fixed point theorem to prove our main result. Further, we extend the result to study the approximate controllability concept with nonlocal conditions. An example is also given to illustrate our main result.

引用

页码：45 / 61

页数：17

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