Solutions of time fractional anomalous diffusion equations with coefficients depending on both time and space variables
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913347920723968 |
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| author | Bat-Ochir, Ganbileg Dorjgotov, Khongorzul Zunderiya, Uuganbayar |
| author_facet | Bat-Ochir, Ganbileg Dorjgotov, Khongorzul Zunderiya, Uuganbayar |
| contents | We derive explicit solutions for time-fractional anomalous diffusion equations with diffusivity coefficients that depend on both space and time variables. These solutions are expressed in Fox-H and generalized Wright functions, which are commonly used in anomalous diffusion equations. Our study represents a significant advancement in our understanding of anomalous diffusion with potential applications in a wide range of fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07285 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Solutions of time fractional anomalous diffusion equations with coefficients depending on both time and space variables Bat-Ochir, Ganbileg Dorjgotov, Khongorzul Zunderiya, Uuganbayar Analysis of PDEs Mathematical Physics We derive explicit solutions for time-fractional anomalous diffusion equations with diffusivity coefficients that depend on both space and time variables. These solutions are expressed in Fox-H and generalized Wright functions, which are commonly used in anomalous diffusion equations. Our study represents a significant advancement in our understanding of anomalous diffusion with potential applications in a wide range of fields. |
| title | Solutions of time fractional anomalous diffusion equations with coefficients depending on both time and space variables |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2405.07285 |