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<p>In this article, we consider a fractional differential pencil with the conformable derivative and spectral boundary conditions. The inverse problem is studied and it is shown that potentials and boundary conditions are uniquely determined by one spectrum together with a set of values of eigenfunctions at <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(x =c_{\alpha }.\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>x</mi> <mo>=</mo> <msub> <mi>c</mi> <mi>α</mi> </msub> <mo>.</mo> </mrow> </math></EquationSource> </InlineEquation></p>

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The interior inverse spectral problem for differential pencils with the conformable fractional derivative

  • 期刊论文

  • 发表日期：

    2026年2月27日

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  • Yasser Khalili,
  • Hikmet Koyunbakan

摘要

In this article, we consider a fractional differential pencil with the conformable derivative and spectral boundary conditions. The inverse problem is studied and it is shown that potentials and boundary conditions are uniquely determined by one spectrum together with a set of values of eigenfunctions at \(x =c_{\alpha }.\) x = c α .