Scholarlink

<p>Post-quantum integral inequalities involving the Riemann–Liouville fractional integral have a significant role in understanding and modeling systems with nonlocal interactions; anomalous diffusion and memory effects make them indispensable for addressing modern challenges in applied mathematics and physics. In this paper, the authors introduced a right fractional <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13660_2025_3345_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="38" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mo stretchy="false">(</mo> <mi>p</mi> <mo>,</mo> <mi>q</mi> <mo stretchy="false">)</mo> </math></EquationSource> <EquationSource Format="TEX">$(p,q)$</EquationSource> </InlineEquation>-integral operator of Riemann–Liouville type, including the <i>q</i>-shifting operator, in parallel to the left fractional <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13660_2025_3345_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="38" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mo stretchy="false">(</mo> <mi>p</mi> <mo>,</mo> <mi>q</mi> <mo stretchy="false">)</mo> </math></EquationSource> <EquationSource Format="TEX">$(p,q)$</EquationSource> </InlineEquation>-integral operator of Riemann–Liouville type introduced by Neang et al. This is done to investigate the post-quantum multiparameter fundamental identity of continuous functions on finite intervals and to derive some new and existing estimates of various inequalities, such as Bullen type, Simpson type, midpoint type, trapezoid type, etc. In order to verify the accuracy of the findings, graphical and numerical analysis and an application to special means are provided.</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

On post-quantum multiparameter Riemann–Liouville fractional integral inequalities with application

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年8月6日

查看全文
  • Sobia Rafeeq,
  • Sabir Hussain,
  • Drakhshan Mansab,
  • Hijaz Ahmad,
  • Taha Radwan

摘要

Post-quantum integral inequalities involving the Riemann–Liouville fractional integral have a significant role in understanding and modeling systems with nonlocal interactions; anomalous diffusion and memory effects make them indispensable for addressing modern challenges in applied mathematics and physics. In this paper, the authors introduced a right fractional ( p , q ) $(p,q)$ -integral operator of Riemann–Liouville type, including the q-shifting operator, in parallel to the left fractional ( p , q ) $(p,q)$ -integral operator of Riemann–Liouville type introduced by Neang et al. This is done to investigate the post-quantum multiparameter fundamental identity of continuous functions on finite intervals and to derive some new and existing estimates of various inequalities, such as Bullen type, Simpson type, midpoint type, trapezoid type, etc. In order to verify the accuracy of the findings, graphical and numerical analysis and an application to special means are provided.