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<p>This paper is concerned with the existence of mild solutions and <i>S</i>-asymptotically <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\omega \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ω</mi> </math></EquationSource> </InlineEquation>-periodic mild solutions for a class of neutral fractional measure evolution equations (NFMEEs) with infinite delays. We first obtain the existence results of nonlocal NFMEEs with infinite delay by the noncompactness measure and the Mönch fixed point theorem. Then, the existence and uniqueness of <i>S</i>-asymptotically <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\omega \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ω</mi> </math></EquationSource> </InlineEquation>-periodic solutions are studied, and sufficient conditions are derived using the generalized fixed-point principle. Finally, two examples are provided to illustrate the theoretical achievements.</p>

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Existence of mild solutions and S-asymptotically \(\omega \)-periodic solutions for neutral fractional measure evolution equations with infinite delay

  • 期刊论文

  • 发表日期：

    2026年2月27日

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  • Wei Feng,
  • Yongxiang Li

摘要

This paper is concerned with the existence of mild solutions and S-asymptotically \(\omega \) ω -periodic mild solutions for a class of neutral fractional measure evolution equations (NFMEEs) with infinite delays. We first obtain the existence results of nonlocal NFMEEs with infinite delay by the noncompactness measure and the Mönch fixed point theorem. Then, the existence and uniqueness of S-asymptotically \(\omega \) ω -periodic solutions are studied, and sufficient conditions are derived using the generalized fixed-point principle. Finally, two examples are provided to illustrate the theoretical achievements.