卡普托导数下偏中性函数分微分方程的存在性和唯一性研究

N. Sene, A. Ndiaye
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引用次数: 0

摘要

本研究考虑的是由分数算子描述的偏中性函数分数微分方程。所使用的分数算子是 Caputo 导数。本文定义了分数解析算子,并用它来证明分数中性微分方程唯一解的存在性。存在性研究中使用了定点定理。为了说明本文的结果,还提供了一个例子。
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Existence and uniqueness study for partial neutral functional fractional differential equation under Caputo derivative
The partial neutral functional fractional differential equation described by the fractional operator is considered in the present investigation. The used fractional operator is the Caputo derivative. In the present paper, the fractional resolvent operators have been defined and used to prove the existence of the unique solution of the fractional neutral differential equations. The fixed point theorem has been used in existence investigations. For an illustration of our results in this paper, an example has been provided as well.
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