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Fractional partial differential variational inequality
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DOI：10.1016/j.cnsns.2023.107600.png)
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摘要
En 中文
In this present paper, we introduce and study a dynamical systems involving fractional deriva-tive 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).
Keyword:
Fractional partial differential variational
inequality
Nonlocal boundary condition
Mittag-Leffler functions
Existence
Measure of noncompactness
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