On the Approximate Controllability for Hilfer Fractional Evolution Hemivariational Inequalities. (19th May 2019)

• Record Type: Journal Article
• Authors: Wang, JinRong; Liu, Xianghu; O'Regan, D.
• Is Part Of: Numerical functional analysis and optimization. Volume 40:Number 7(2019)
• Page Start: 743
• Page End: 762
• Publication Date: 2019-05-19
• Subjects: Approximate controllability -- generalized Clarke directional derivative -- hemivariational inequalities -- Hilfer fractional derivative -- mild solutions; 34A08 -- 34A37 -- 34C25; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1499667
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: The paper is concerned with the approximate controllability of some Hilfer fractional evolution hemivariational inequalities. Using two classes of operators and their fundamental properties, we derive sufficient conditions for approximate controllability of linear and semilinear controlled systems via a fixed point theorem for multivalued maps. Finally, an example is given to illustrate our theory.