Controllability for a new class of fractional neutral integro-differential evolution equations with infinite delay and nonlocal conditions

Advances in Difference Equations

Denghao Pang¹  Jun Du²  Wei Jiang³  Azmat Ullah Khan Niazi³ 

[1] Department of Applied Mathematics, Huainan Normal University, Huainan, People’School of Mathematical Science, Anhui University, Hefei, People’s Republic of China

关键词: controllability;    fractional integro-differential equations;    neutral evolution equations;    infinite delay;    nonlocal conditions;    fixed point theorem;    measure of noncompactness;    26A33;    34A08;    34A34;    93B05;   

DOI  :  10.1186/s13662-017-1182-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we apply the fractional calculus and a suitable fixed point theorem with the measure of noncompactness to give the sufficient conditions of the controllability for a new class of fractional neutral integro-differential evolution systems with infinite delay and nonlocal conditions. The results are obtained here under some weakly noncompactness conditions. Thus they improve and generalize many well-known results. At the end of this paper, two examples are given to explain our abstract conclusions.

【 授权许可】

CC BY