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<p>We consider a boundary-value problem with a nonlocal integral condition for a nonlinear fractional differential equation with a generalized (bi-ordinal) composite Hilfer derivative. The notion of a bi-ordinal Hilfer derivative is based on the interpolation concept using the Caputo and Riemann–Liouville derivatives of different orders. We discuss the existence, uniqueness, and stability of the problem solution.</p>

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On a Nonlocal Boundary-Value Problem for a Nonlinear Fractional Differential Equation with the Bi-Ordinal Hilfer Derivative

  • 期刊论文

  • 发表日期：

    2025年5月31日

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  • V. M. Bulavatsky

摘要

We consider a boundary-value problem with a nonlocal integral condition for a nonlinear fractional differential equation with a generalized (bi-ordinal) composite Hilfer derivative. The notion of a bi-ordinal Hilfer derivative is based on the interpolation concept using the Caputo and Riemann–Liouville derivatives of different orders. We discuss the existence, uniqueness, and stability of the problem solution.