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<p>The main goal of this paper is to analyze and study a new class of dual abstract systems that consists of differential hemivariational inequalities systematized by an evolutionary hemivariational inequality accumulated with a fractional differential equation of order <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13660_2025_3320_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="71" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mn>1</mn> <mo>&lt;</mo> <mi>q</mi> <mo>&lt;</mo> <mn>2</mn> </math></EquationSource> <EquationSource Format="TEX">$1&lt; q&lt;2$</EquationSource> </InlineEquation> in a Banach space. The existence of a solution to the mentioned problem is proved by employing Rothe’s method and a surjectivity result. An example is provided to validate the results.</p>

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A new class of dual systems of fractional differential equations with hemivariational inequalities

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月16日

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  • Mohd Adnan,
  • Esmail Alshaban,
  • Fahad M. Alamrani,
  • Abdur Raheem,
  • Areefa Khatoon,
  • Faizan A. Khan

摘要

The main goal of this paper is to analyze and study a new class of dual abstract systems that consists of differential hemivariational inequalities systematized by an evolutionary hemivariational inequality accumulated with a fractional differential equation of order 1 < q < 2 $1< q<2$ in a Banach space. The existence of a solution to the mentioned problem is proved by employing Rothe’s method and a surjectivity result. An example is provided to validate the results.