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<p>This paper proposes a general model of fractional spatial heterogeneouse viral infection. The resolvent operator’s method and a fixed point theorem are employed to establish the existence and uniqueness of mild solutions for abstract fractional spatial heterogeneous viral infection models. Additionally, the stability of Ulam–Hyers (<i>UH</i>) and Ulam–Hyers–Rassias (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13661_2025_2077_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="46" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mi>U</mi> <mi>H</mi> <mi>R</mi> </math></EquationSource> <EquationSource Format="TEX">$UHR$</EquationSource> </InlineEquation>) type for the solution of this model is studied. Examples of partial differential equations utilizing the Caputo–Fabrizio derivative are also presented.</p>

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Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月5日

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  • Khellaf Ould Melha,
  • Medjahed Djilali,
  • Vaijanath L. Chinchane,
  • Asha B. Nale,
  • Sabri T. M. Thabet,
  • Imed Kedim

摘要

This paper proposes a general model of fractional spatial heterogeneouse viral infection. The resolvent operator’s method and a fixed point theorem are employed to establish the existence and uniqueness of mild solutions for abstract fractional spatial heterogeneous viral infection models. Additionally, the stability of Ulam–Hyers (UH) and Ulam–Hyers–Rassias ( U H R $UHR$ ) type for the solution of this model is studied. Examples of partial differential equations utilizing the Caputo–Fabrizio derivative are also presented.