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<p>This study establishes sufficient conditions for existence of positive solutions of three-variable functions with Hadamard fractional integrals and sequential integral boundary conditions governed by the nonlinear Hilfer–Hadamard fractional derivative. We apply the Leray-Schauder nonlinear alternative fixed-point theorem to obtain these results. The novelty of this study lies in the investigation of a new nonlinear Hilfer–Hadamard system for three-variable Hadamard fractional integrals employing sequential integral boundary conditions which sets our work apart from existing studies.</p>

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Existence of solutions for a system of Hilfer–Hadamard fractional sequential boundary value problems

  • 期刊论文

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  • 发表日期：

    2026年6月29日

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  • Hasan Rasouli,
  • Ravi P. Agarwal,
  • Sever S. Dragomir

摘要

This study establishes sufficient conditions for existence of positive solutions of three-variable functions with Hadamard fractional integrals and sequential integral boundary conditions governed by the nonlinear Hilfer–Hadamard fractional derivative. We apply the Leray-Schauder nonlinear alternative fixed-point theorem to obtain these results. The novelty of this study lies in the investigation of a new nonlinear Hilfer–Hadamard system for three-variable Hadamard fractional integrals employing sequential integral boundary conditions which sets our work apart from existing studies.