Mild solutions to fractional differential inclusions with nonlocal conditions

Boundary value problems

Shaozhong Deng¹  Changfeng Xue²  Tingting Lian² 

[1] Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, United States;School of Mathematics and Physics, Yancheng Institute of Technology, Yancheng, P.R. China

关键词: fractional differential inclusions;    nonlocal conditions;    Hausdorff measure of noncompactness;    equicontinuous semigroup;    mild solution;   

DOI  :  10.1186/s13661-016-0724-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This article is concerned with the existence of mild solutions for fractional differential inclusions with nonlocal conditions in Banach spaces. The results are obtained by using fractional calculus, Hausdorff measure of noncompactness, and the multivalued fixed point theorem. The results obtained in the present paper extend some related results on this topic.

【 授权许可】

CC BY