Scholarlink

<p>In this study, the dynamics and emissions of climate change in Baghdad, Iraq, are modeled using generalized fractional differential operators. The study uses fractional derivatives to incorporate time-memory effects and simulates the relationships between atmospheric carbon concentration, surface temperature, and emission rates using a fractional system of equations. The unique climatic conditions of Baghdad, including temperature fluctuations, precipitation patterns, and emissions, are reflected in the climate model. The aim is to produce a more realistic depiction of future climate scenarios by modifying the fractional system to take these local elements into account, with a particular emphasis on the effects of temperature increases and emission reductions. Unlike prior climate–carbon models that rely on integer-order or classical fractional operators, our formulation introduces a generalized Caputo derivative with multi-parameter gamma kernels <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="704_2025_5782_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="77" /> </InlineMediaObject> <EquationSource Format="TEX">\((\alpha ,\beta ,\kappa ,\gamma )\)</EquationSource> </InlineEquation>, enabling flexible representation of both power-law and exponential memory effects. This new operator allows us to capture delayed responses and persistence in atmospheric CO<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="704_2025_5782_Article_IEq2.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(_2\)</EquationSource> </InlineEquation>, surface temperature, and sea-level rise within a unified fractional system, extending well beyond the memory structures considered in earlier models.</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

A generalized fractional system for modeling climate change and emissions: analysis, numerical solutions with a case study

  • 期刊论文

  • 发表日期：

    2025年9月17日

查看全文
  • Rabha W. Ibrahim

摘要

In this study, the dynamics and emissions of climate change in Baghdad, Iraq, are modeled using generalized fractional differential operators. The study uses fractional derivatives to incorporate time-memory effects and simulates the relationships between atmospheric carbon concentration, surface temperature, and emission rates using a fractional system of equations. The unique climatic conditions of Baghdad, including temperature fluctuations, precipitation patterns, and emissions, are reflected in the climate model. The aim is to produce a more realistic depiction of future climate scenarios by modifying the fractional system to take these local elements into account, with a particular emphasis on the effects of temperature increases and emission reductions. Unlike prior climate–carbon models that rely on integer-order or classical fractional operators, our formulation introduces a generalized Caputo derivative with multi-parameter gamma kernels \((\alpha ,\beta ,\kappa ,\gamma )\) , enabling flexible representation of both power-law and exponential memory effects. This new operator allows us to capture delayed responses and persistence in atmospheric CO \(_2\) , surface temperature, and sea-level rise within a unified fractional system, extending well beyond the memory structures considered in earlier models.