On a fractional integro-differential inclusion

Electronic Journal of Qualitative Theory of Differential Equations

Aurelian Cernea¹ 

[1] University of Bucharest, Bucharest, Romania;

关键词: differential inclusion;    fractional derivative;    decomposable set;   

DOI  :  10.14232/ejqtde.2014.1.25

来源: DOAJ

【 摘 要 】

We study a Cauchy problem for a fractional integro-differential inclusion of order $\alpha \in (1,2]$ involving a nonconvex set-valued map. Arcwise connectedness of the solution set is provided. Also we prove that the set of selections corresponding to the solutions of the problem considered is a retract of the space of integrable functions on a given interval.

【 授权许可】

Unknown