Controllability for Sobolev type fractional integro-differential systems in a Banach space

Advances in Difference Equations

Hamdy M Ahmed¹ 

[1] Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Egypt

关键词: fractional calculus;    Sobolev type fractional integro-differential systems;    controllability;    compact semigroup;    mild solution;    Schauder fixed-point theorem;   

DOI  :  10.1186/1687-1847-2012-167

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, by using compact semigroups and the Schauder fixed-point theorem, we study the sufficient conditions for controllability of Sobolev type fractional integro-differential systems in a Banach space. An example is provided to illustrate the obtained results. MSC:26A33, 34G20, 93B05.

【 授权许可】

CC BY