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Uniqueness and stability for generalized Caputo fractional differential quasi-variational inequalities

Du, Jinsheng; Lu, Cuizhi; Jiang, Yirong*; Xie, Heng
Science Citation Index Expanded
桂林理工大学

摘要

In this paper, we study a new kind of generalized Caputo fractional differential quasi-variational inequalities in Hilbert spaces. We prove the uniqueness and the stability of the abstract inequality by using generalized singular Gronwall's lemma, projection operators, and contraction principle. Finally, an example is given to illustrate the abstract results.

关键词

differential quasi variational inequalities generalized Caputo fractional differential equation stability uniqueness of solution