Decay mild solutions of Hilfer fractional differential variational–hemivariational inequalities. (June 2023)

• Record Type: Journal Article
• Authors: Pang, Xia; Li, Xiuwen; Liu, Zhenhai
• Is Part Of: Nonlinear analysis. Volume 71(2023)
• Publication Date: 2023-06
• Subjects: Hilfer fractional differential variational–hemivariational inequalities -- Decay mild solution -- Measure of noncompact -- History-dependent operator -- Mittag-Leffler function; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2023.103834
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: The primary objective of this paper is to explore a decay mild solution governed by a class of dynamical systems, called Hilfer fractional differential variational–hemivariational inequality (HFDVHVI, for short), which is composed of a Hilfer fractional evolution differential inclusion and a variational–hemivariational inequality involving two history-dependent operators in the framework of spaces. Our first aim is to investigate the solvability of the mild solutions to (HFDVHVI) by means of fixed point principle. The second step of the paper is to study the existence of decay mild solutions to (HFDVHVI) via giving expression for the Mittag-Leffler function and the Wright function.