Anisotropic Hardy type inequalities with weights and conformable fractional differential operators
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909410268282880 |
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| author | Abolarinwa, Abimbola Anthony, Yisa O |
| author_facet | Abolarinwa, Abimbola Anthony, Yisa O |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00240 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anisotropic Hardy type inequalities with weights and conformable fractional differential operators Abolarinwa, Abimbola Anthony, Yisa O Analysis of PDEs 26D10, 46E30, 47J10, 65Mxx 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. |
| title | Anisotropic Hardy type inequalities with weights and conformable fractional differential operators |
| topic | Analysis of PDEs 26D10, 46E30, 47J10, 65Mxx |
| url | https://arxiv.org/abs/2412.00240 |