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arXiv · 2412.00240

Anisotropic Hardy type inequalities with weights and conformable fractional differential operators

Abimbola Abolarinwa·Yisa O Anthony
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Abstract

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.

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Abimbola Abolarinwa, Yisa O Anthony. 2024-11-29. Anisotropic Hardy type inequalities with weights and conformable fractional differential operators. https://arxiv.org/abs/2412.00240

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