The existence of attractors for operator semi-groups induced by a dissipative Caputo fractional differential equation is established on a space of continuous functions, endowed with the topology of uniform convergence on compact subsets.

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Attractors of Caputo Semi-Groups

  • Thai Son Doan,
  • Peter E. Kloeden,
  • Hoang The Tuan

摘要

The existence of attractors for operator semi-groups induced by a dissipative Caputo fractional differential equation is established on a space of continuous functions, endowed with the topology of uniform convergence on compact subsets.