Fractional partial differential variational inequality
General Mathematics
2023-10-11 v1
Abstract
In this present paper, we introduce and study a dynamical systems involving fractional derivative operator and nonlocal condition, which is constituted of a fractional evolution equation and a time-dependent variational inequality, and is named as fractional partial differential variational inequality (FPDVI, for short). By employing the estimates involving the one-and two-parameter Mittag-Leffler functions, fixed-point theory for set-value mappings, and non-compactness measure theory, we develop a general framework to establish the existence of smooth solutions to (FPDVI).
Cite
@article{arxiv.2310.06739,
title = {Fractional partial differential variational inequality},
author = {Jinxia Cen and J. Vanterler da C. Sousa and Wei Wu},
journal= {arXiv preprint arXiv:2310.06739},
year = {2023}
}
Comments
12 pages