Scholarlink

<p>This paper is devoted to the existence results for a class of neutral abstract fractional differential equations involving the composite relaxation process. Based on the Laplace transform, the semigroup theory and the Wright functions, we first introduce a definition of mild solutions to the considered problem. By means of the noncompactness of measure and the fixed point technique, we establish existence criteria of solutions. Finally, an example is presented to illustrate our main result.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Existence for neutral fractional differential equations in composite relaxation process

  • 期刊论文

  • 发表日期：

    2025年6月26日

查看全文
  • Jia-wei He,
  • Zi-cheng Yu

摘要

This paper is devoted to the existence results for a class of neutral abstract fractional differential equations involving the composite relaxation process. Based on the Laplace transform, the semigroup theory and the Wright functions, we first introduce a definition of mild solutions to the considered problem. By means of the noncompactness of measure and the fixed point technique, we establish existence criteria of solutions. Finally, an example is presented to illustrate our main result.