Space-Dependent Fractional Evolution Equations: A New Approach
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910834614075392 |
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| author | Boza, Tiago Augusto dos Santos Neto, Paulo Mendes de Carvalho |
| author_facet | Boza, Tiago Augusto dos Santos Neto, Paulo Mendes de Carvalho |
| contents | Inspired by the works of \cite{baz2} and \cite{kian}, this study develops an abstract framework for analyzing differential equations with space-dependent fractional time derivatives and bounded operators. Within this framework, we establish existence and uniqueness results for solutions in both linear and semilinear settings. Our findings provide deeper insights into how spatially varying fractional derivatives influence the behavior of differential equations, shedding light on their mathematical properties and potential applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12730 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Space-Dependent Fractional Evolution Equations: A New Approach Boza, Tiago Augusto dos Santos Neto, Paulo Mendes de Carvalho Analysis of PDEs 26A33, 35R11, 35A01, 35A02, 35Q92 Inspired by the works of \cite{baz2} and \cite{kian}, this study develops an abstract framework for analyzing differential equations with space-dependent fractional time derivatives and bounded operators. Within this framework, we establish existence and uniqueness results for solutions in both linear and semilinear settings. Our findings provide deeper insights into how spatially varying fractional derivatives influence the behavior of differential equations, shedding light on their mathematical properties and potential applications. |
| title | Space-Dependent Fractional Evolution Equations: A New Approach |
| topic | Analysis of PDEs 26A33, 35R11, 35A01, 35A02, 35Q92 |
| url | https://arxiv.org/abs/2502.12730 |