Existence and dimension of the set of mild solutions to semilinear fractional differential inclusions

Advances in Difference Equations

Ahmad Alsaedi¹  Naseer Shahzad¹  Ravi P Agarwal²  Bashir Ahmad³ 

[1] Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics, Texas A&M University-Kingsville, Kingsville, USA

关键词: nonlocal problem;    fractional differential inclusions;    topological dimension;    mild solution;    fixed point theorems;   

DOI  :  10.1186/1687-1847-2012-74

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This article studies the existence and dimension of the set for mild solutions of semilinear fractional differential inclusions. We recall and prove some new results on multivalued maps to establish our main results. MSC 2010: 34A12; 34A40.

【 授权许可】

CC BY