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<p>This paper investigates linear and semilinear two-sided conformable matrix delay differential equations (DDE). Firstly, the two-sided conformable delayed exponential matrix function (DEMF) is constructed. Secondly, the representation of solutions and Ulam-Hyers stability of two-sided linear problem are studied. Further, uniqueness and Ulam-Hyers stability of two-sided semilinear problem are also presented. The relative controllability of linear and semilinear two-sided problem is studied. Lastly, we provide two examples to demonstrate our results.</p>

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Qualitative analysis of the two-sided conformable matrix delay differential equations

  • 期刊论文

  • 发表日期：

    2026年1月12日

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  • Taoyu Yang,
  • JinRong Wang

摘要

This paper investigates linear and semilinear two-sided conformable matrix delay differential equations (DDE). Firstly, the two-sided conformable delayed exponential matrix function (DEMF) is constructed. Secondly, the representation of solutions and Ulam-Hyers stability of two-sided linear problem are studied. Further, uniqueness and Ulam-Hyers stability of two-sided semilinear problem are also presented. The relative controllability of linear and semilinear two-sided problem is studied. Lastly, we provide two examples to demonstrate our results.