DOAJ Open Access 2022

Approximation and convergence analysis of optimal control for non-instantaneous impulsive fractional evolution hemivariational inequalities

N. Durga P. Muthukumar Michal Niezabitowski

Abstrak

In this work, a fractional evolution hemivariational inequalities driven by non-instantaneous impulses is studied. The solvability of the proposed system is obtained by fractional calculus, properties of generalized Clarke’s subdifferential and Dhage fixed point theorem. This article also presents the construction of the lower-dimensional approximation system for the proposed model, and its convergence of the mild solution is obtained. Besides, by considering suitable assumptions, the local approximation and uniform convergence results are established for the proposed system’s mild solution. Furthermore, sufficient conditions for the existence of Lagrange optimal control problem and convergence analysis of optimal control for the proposed model are formulated and proved. At last, an example is given for the illustration of invented new theoretical results.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (3)

N. Durga

P. Muthukumar

Michal Niezabitowski

Format Sitasi

APA MLA BibTeX

Durga, N., Muthukumar, P., Niezabitowski, M. (2022). Approximation and convergence analysis of optimal control for non-instantaneous impulsive fractional evolution hemivariational inequalities. https://doi.org/10.1016/j.rico.2022.100182

Akses Cepat

PDF tidak tersedia langsung

Cek di sumber asli →

Lihat di Sumber doi.org/10.1016/j.rico.2022.100182

Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.1016/j.rico.2022.100182
Akses: Open Access ✓