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<p>We establish necessary and sufficient solvability conditions and the general form of solution to the linear boundary-value problem for the two-term sequential fractional differential equation. The following two cases are considered: (i) sequential derivative is a combination of two fractional Caputo derivatives; (ii) sequential derivative is a combination of the ordinary derivative and the Caputo fractional derivative.</p>

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Fredholm Boundary-Value Problem for the Two-Term Sequential Fractional Differential Equation

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • Oleksandr Boichuk,
  • Viktor Feruk

摘要

We establish necessary and sufficient solvability conditions and the general form of solution to the linear boundary-value problem for the two-term sequential fractional differential equation. The following two cases are considered: (i) sequential derivative is a combination of two fractional Caputo derivatives; (ii) sequential derivative is a combination of the ordinary derivative and the Caputo fractional derivative.