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

作者：Du, Jinsheng; Lu, Cuizhi; Jiang, Yirong^*; Xie, Heng

来源：INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2023, 24(7): 2461-2476.

DOI：10.1515/ijnsns-2020-0294

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

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.

• 单位
  桂林理工大学