Optimal Control for a Class of Riemann-Liouville Fractional Evolution Inclusions

Symmetry

He Yang¹  Qian Ren¹ 

[1] College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China;

关键词: fractional differential inclusion;    optimal state-control pair;    existence;    compact semigroup;   

DOI  :  10.3390/sym14020248

来源: DOAJ

【 摘 要 】

In this paper, under symmetric properties of multivalued operators, the existence of mild solutions as well as optimal control for the nonlocal problem of fractional semilinear evolution inclusions are investigated in abstract spaces. At first, the existence results are proved by applying the theory of operator semigroups and the fixed-point theorem of multivalued mapping. Then the existence theorem on the optimal state-control pair is proved by constructing the minimizing sequence twice. An example is given in the last section as an application of the obtained conclusions.

【 授权许可】

Unknown