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In this Carathéodorychapter, we devote our attention to using the CaratheodoryCaratheodory principle to derive conditions under which these globalGlobal fractional differential equations admit unique solution. In general, Caratheodory’s existenceExistence theorem implies that a given nonlinear differential equation admits a solution under some mild conditions. The literature says that these conditions are indeed the extension of well-known Peano’s existenceExistence theorem.

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Existence and Uniqueness via Carathéodory Approach

  • 章节

  • 发表日期：

    2025年

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  • Abdon Atangana,
  • İlknur Koca

摘要

In this Carathéodorychapter, we devote our attention to using the CaratheodoryCaratheodory principle to derive conditions under which these globalGlobal fractional differential equations admit unique solution. In general, Caratheodory’s existenceExistence theorem implies that a given nonlinear differential equation admits a solution under some mild conditions. The literature says that these conditions are indeed the extension of well-known Peano’s existenceExistence theorem.