Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:344

Article

Harrat, Aicha¹  Nieto, Juan J.²  Debbouche, Amar¹ 

[1] Guelma Univ, Dept Math, Guelma 24000, Algeria

[2] Univ Santiago de Compostela, Inst Matemat, Dept Estat Anal Matemat & Optimizac, Santiago De Compostela 15782, Spain

关键词: Optimal control;    Hilfer fractional derivative;    Delay evolution inclusion;    Clarke subdifferential;    Impulsive condition;   

DOI  :  10.1016/j.cam.2018.05.031

来源: Elsevier

【 摘 要 】

We study the solvability and optimal controls of an impulsive nonlinear Hilfer fractional delay evolution inclusion in Banach spaces. For the main results, we use fractional calculus, fixed point technique, semigroup theory and multivalued analysis. We introduce the notion of Clarke delay subdifferential. To continue and extend previous works in the field, we prove an existence result of optimal control pair for Lagrange problem LP under appropriate set of sufficient conditions. Finally, as application, we give an impulsive control partial differential inclusion with Hilfer fractional derivative. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free