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<p>The objective of this paper is to determine the eigenvalue intervals for which an iterative system of Hadamard fractional boundary value problem has at least one positive solution. Our approach is based on the properties of fractional calculus and the standard fixed point theorem of cone type. The obtained results in the paper are examined by an example for their feasibility. To the best of our knowledge, no attempt has been made to obtain such results for iterative systems of Hadamard–type fractional boundary value problems in the literature.</p>

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Eigenvalues for iterative systems of higher order three-point Hadamard fractional boundary value problems

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  • 出版模式：

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  • 发表日期：

    2025年5月22日

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  • Jehad Alzabut,
  • Boddu Muralee Bala Krushna,
  • Mahammad Khuddush

摘要

The objective of this paper is to determine the eigenvalue intervals for which an iterative system of Hadamard fractional boundary value problem has at least one positive solution. Our approach is based on the properties of fractional calculus and the standard fixed point theorem of cone type. The obtained results in the paper are examined by an example for their feasibility. To the best of our knowledge, no attempt has been made to obtain such results for iterative systems of Hadamard–type fractional boundary value problems in the literature.