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<p>By a systematic development of fundamental concepts of conformable calculus we establish conformable divergence theorem and Green’s identities which we combine with some new anisotropic Picone type identities to derive a generalized anisotropic Hardy type inequality with weights and conformable fractional differential operators. As a consequence, several Hardy type inequalities and Heisenberg Pauli-Weyl uncertainty principles are obtained.</p>

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Anisotropic Hardy Type Inequalities with Weights and Conformable Fractional Differential Operators

  • 期刊论文

  • 发表日期：

    2025年8月28日

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  • Abimbola Abolarinwa,
  • Yisa O. Anthonio

摘要

By a systematic development of fundamental concepts of conformable calculus we establish conformable divergence theorem and Green’s identities which we combine with some new anisotropic Picone type identities to derive a generalized anisotropic Hardy type inequality with weights and conformable fractional differential operators. As a consequence, several Hardy type inequalities and Heisenberg Pauli-Weyl uncertainty principles are obtained.