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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2506.12614 |
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| _version_ | 1866915343757213696 |
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| author | Ilyas, Asim Malik, Salman A. Suhaib, Kamran |
| author_facet | Ilyas, Asim Malik, Salman A. Suhaib, Kamran |
| contents | This work contributes to the theory of nth level fractional derivative, where $n$ is a positive integer. An equivalent representation of 2nd level fractional derivative in terms of Riemann-Liouville fractional derivative is presented. We generalized our result and provide representation of nth level fractional derivative. As an application, we solve an inverse problem defined for a diffusion equation involving 2nd level fractional derivative. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12614 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On nth Level Fractional Derivatives: An Equivalent Representation and Applications to Inverse Problem Ilyas, Asim Malik, Salman A. Suhaib, Kamran Analysis of PDEs This work contributes to the theory of nth level fractional derivative, where $n$ is a positive integer. An equivalent representation of 2nd level fractional derivative in terms of Riemann-Liouville fractional derivative is presented. We generalized our result and provide representation of nth level fractional derivative. As an application, we solve an inverse problem defined for a diffusion equation involving 2nd level fractional derivative. |
| title | On nth Level Fractional Derivatives: An Equivalent Representation and Applications to Inverse Problem |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.12614 |