Fractional partial differential variational inequality

Jinxia Cen; J. Vanterler da C. Sousa; Wei Wu

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arXiv · 2310.06739

Fractional partial differential variational inequality

Jinxia Cen·J. Vanterler da C. Sousa·Wei Wu

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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).

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Jinxia Cen, J. Vanterler da C. Sousa, Wei Wu. 2023-10-06. Fractional partial differential variational inequality. https://arxiv.org/abs/2310.06739

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