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Uniqueness and stability for generalized Caputo fractional differential quasi-variational inequalities
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  • Jinsheng Du,
  • Cuizhi Lu,
  • Yirong Jiang,
  • Heng Xie
Jinsheng Du
Guilin University of Technology
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Cuizhi Lu
Guilin University of Technology
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Yirong Jiang
Guilin University of Technology
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Heng Xie
Guilin University of Technology
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Abstract

This paper studies a new kind of generalized Caputo fractional differential quasi-variational inequalities in Hilbert spaces. We prove uniqueness and 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.