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The separability of solutions to Caputo fractional differential equations is investigated. In particular, separability is confirmed in the scalar case and for triangular systems. Furthermore, both upper and lower estimates for separability are established. A counterexample shows separability does not usually hold in the general multidimensional setting.

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Non-intersecting Solutions of Scalar Caputo FDEs

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  • 发表日期：

    2025年

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

摘要

The separability of solutions to Caputo fractional differential equations is investigated. In particular, separability is confirmed in the scalar case and for triangular systems. Furthermore, both upper and lower estimates for separability are established. A counterexample shows separability does not usually hold in the general multidimensional setting.