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<p>In this paper, we are concerned with a two-term fractional differential equation with functional boundary conditions. We discuss the existence of two kinds of solutions with respect to this type of equation. In this sense, for a class of two-term problems with specific boundary conditions, we use Matlab software to calculate the eigenvalues of the boundary value problems with Riemann-Liouville fractional derivative as an application of the two-term fractional differential equation, and further, we derive the dependence of eigenvalues on some parameters. Finally, we indicate that this method of estimating the eigenvalues by means of such two-term fractional order equations will also help in solving other eigenvalue problems.</p>

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Solvability for a class of two-term nonlinear functional boundary value problems and its applications

  • 期刊论文

  • 发表日期：

    2025年4月29日

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  • Bingzhi Sun,
  • Shuqin Zhang,
  • Dongyu Yang

摘要

In this paper, we are concerned with a two-term fractional differential equation with functional boundary conditions. We discuss the existence of two kinds of solutions with respect to this type of equation. In this sense, for a class of two-term problems with specific boundary conditions, we use Matlab software to calculate the eigenvalues of the boundary value problems with Riemann-Liouville fractional derivative as an application of the two-term fractional differential equation, and further, we derive the dependence of eigenvalues on some parameters. Finally, we indicate that this method of estimating the eigenvalues by means of such two-term fractional order equations will also help in solving other eigenvalue problems.