{"ID":2870802,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2509.11690","arxiv_id":"2509.11690","title":"Lie symmetry analysis and similarity reductions for the tempered-fractional Keller Segel system","abstract":"We perform a Lie symmetry analysis on the tempered-fractional Keller Segel (TFKS) system, a chemo-taxis model incorporating anomalous diffusion. A novel approach is used to handle the nonlocal nature of tempered fractional operators. By deriving the full set of Lie point symmetries and identifying the optimal one-dimensional subalgebras, we reduce the TFKS PDEs to ordinary differential equations (ODEs), yielding new exact solutions. These results offer insights into the long-term behavior and aggregation dynamics of the TFKS model and present a methodology applicable to other tempered fractional differential equations.","short_abstract":"We perform a Lie symmetry analysis on the tempered-fractional Keller Segel (TFKS) system, a chemo-taxis model incorporating anomalous diffusion. A novel approach is used to handle the nonlocal nature of tempered fractional operators. By deriving the full set of Lie point symmetries and identifying the optimal one-dimen...","url_abs":"https://arxiv.org/abs/2509.11690","url_pdf":"https://arxiv.org/pdf/2509.11690v1","authors":"[\"Ghorbanali Haghighatdoost\",\"Mustafa Bazghandi\"]","published":"2025-09-15T08:41:27Z","proceeding":"math-ph","tasks":"[\"math-ph\",\"math.AP\",\"math.OC\"]","methods":"[\"Diffusion Model\"]","has_code":false}