Optimality of fractional impulsive partial stochastic differential systems with analytic sectorial operators and controls. (3rd April 2019)

• Record Type: Journal Article
• Authors: Yan, Zuomao; Han, Li
• Is Part Of: Optimization. Volume 68:Number 4(2019)
• Page Start: 853
• Page End: 894
• Publication Date: 2019-04-03
• Subjects: Fractional impulsive partial stochastic differential systems -- optimality -- exact controllability -- Hausdorff measure of noncompactness -- fixed point theorem; 34A37 -- 60H15 -- 26A33 -- 93B05; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2018.1556665
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract: In this paper, we study a class of fractional impulsive partial stochastic differential systems with analytic sectorial operators and not instantaneous impulses in separable Hilbert spaces. Firstly, the existence of mild solutions and optimal mild solutions investigated by utilizing the theory of analytic sectorial operators, stochastic analysis, suitable fixed point theorems with the Hausdorff measure of noncompactness. Secondly, the question of exact controllability of these control systems is considered too. Finally, an example to illustrate the applications of main results is also given.