Controllability problem for fractional integrodifferential evolution systems of mixed type with the measure of noncompactness

Journal of inequalities and applications

Haiyong Qin¹ 

关键词: controllability;    fixed point theorem;    Banach space;    fractional evolution system;   

DOI  :  10.1186/1029-242X-2014-292

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We consider the controllability problem for a class of fractional evolution systems of mixed type in an infinite dimensional Banach space. The existence of mild solutions and controllability results are discussed by a new estimation technique of the measure of noncompactness and a fixed point theorem with respect to a convex-power condensing operator. However, the main results do not need any restrictive conditions on estimated parameters of the measure of noncompactness. Since we do not assume that the semigroup is compact and other conditions are more general, the outcomes we obtain here improve and generalize many known controllability results. An example is also given to demonstrate the applications of our main results. MSC:26A33, 34B15, 93B05, 93C25.

【 授权许可】

CC BY