Scholarlink

<p>This paper establishes the <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\psi -\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ψ</mi> <mo>-</mo> </mrow> </math></EquationSource> </InlineEquation>Natural Integral Transform (<InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\psi -\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ψ</mi> <mo>-</mo> </mrow> </math></EquationSource> </InlineEquation>N-Transform or <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\psi -\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ψ</mi> <mo>-</mo> </mrow> </math></EquationSource> </InlineEquation>NT), explores the fundamental properties and findings that include convolution and evaluate the analytical solutions of various electrical circuits by using the generalized fractional derivative operator. These analytical solutions for electrical circuit equations using generalized fractional derivative operators and validated through graphical simulations of RL, LC and RC circuits, where R, L and C stand for resistor, inductor and capacitor, respectively.</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

Some New Results on \(\psi \)-Natural Transform and Its Application in Electric Circuits with \(\psi \)-Caputo Fractional Derivatives

  • 期刊论文

  • 发表日期：

    2026年7月31日

查看全文
  • Rahul Sharma,
  • C. Ravichandran,
  • Ankit Kumar Sharma,
  • Kanak Modi,
  • Yudhveer Singh

摘要

This paper establishes the \(\psi -\) ψ - Natural Integral Transform ( \(\psi -\) ψ - N-Transform or \(\psi -\) ψ - NT), explores the fundamental properties and findings that include convolution and evaluate the analytical solutions of various electrical circuits by using the generalized fractional derivative operator. These analytical solutions for electrical circuit equations using generalized fractional derivative operators and validated through graphical simulations of RL, LC and RC circuits, where R, L and C stand for resistor, inductor and capacitor, respectively.