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<p>We study systems of fractional differential inclusions in a Banach space whose right-hand sidesare multivalued maps of Carathéodory type depending on time, a&#xa0;finite set of functions, and their derivatives.To solve the existence problem for solutions to such a system, we apply the theory of fractional mathematical analysis and the theory of topological degree for multivalued condensing maps.</p>

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On Systems of Differential Inclusions of Fractional Order in Banach Spaces

  • 期刊论文

  • 发表日期：

    2025年3月23日

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  • V. V. Obukhovskii,
  • M. I. Kamenskii,
  • G. G. Petrosyan,
  • T. A. Ul’vacheva,
  • S. Zeng

摘要

We study systems of fractional differential inclusions in a Banach space whose right-hand sidesare multivalued maps of Carathéodory type depending on time, a finite set of functions, and their derivatives.To solve the existence problem for solutions to such a system, we apply the theory of fractional mathematical analysis and the theory of topological degree for multivalued condensing maps.