Scholarlink

<p>In this work, we study some properties of a new fractional derivative, called <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\psi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ψ</mi> </math></EquationSource> </InlineEquation>-Hilfer-Caputo fractional derivative. The fundamental theorem, a chain rule type inequality, mean value type result and the Laplace transform of this new fractional derivative are considered. Our results are new, even in the particular case <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\psi (x) = x\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ψ</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>x</mi> </mrow> </math></EquationSource> </InlineEquation> which reduce to the Hilfer fractional derivative case.</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 Properties of the \(\psi \)-Hilfer-Caputo Fractional Derivative

  • 期刊论文

  • 发表日期：

    2026年1月29日

查看全文
  • Jesús Ávalos Rodríguez,
  • Hernán Cuti Gutierrez,
  • César Enrique Torres Ledesma

摘要

In this work, we study some properties of a new fractional derivative, called \(\psi \) ψ -Hilfer-Caputo fractional derivative. The fundamental theorem, a chain rule type inequality, mean value type result and the Laplace transform of this new fractional derivative are considered. Our results are new, even in the particular case \(\psi (x) = x\) ψ ( x ) = x which reduce to the Hilfer fractional derivative case.