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<p>The boundary-value problem with an integral condition for a nonlinear fractional-differential equation with a generalized (bi-ordinal) Hilfer–Hadamard composite derivative is considered. The notion of the bi-ordinal Hilfer–Hadamard derivative is based on the interpolation concept using Hadamard and Caputo–Hadamard derivatives of different orders. The article considers the existence of a solution, its uniqueness and stability in relation to the above problem.</p>

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A Problem with Terminal Integral Condition for One Nonlinear Fractional-Differential Equation with Be-Ordinal Hilfer–Hadamard Derivative

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • V. M. Bulavatsky

摘要

The boundary-value problem with an integral condition for a nonlinear fractional-differential equation with a generalized (bi-ordinal) Hilfer–Hadamard composite derivative is considered. The notion of the bi-ordinal Hilfer–Hadamard derivative is based on the interpolation concept using Hadamard and Caputo–Hadamard derivatives of different orders. The article considers the existence of a solution, its uniqueness and stability in relation to the above problem.