Arfaoui, H.Kharrat, M.Mecheri, H.Baleanu, D.2025-05-132025-05-1320252364-6748https://doi.org/10.1007/978-981-97-8715-9_2https://hdl.handle.net/20.500.12416/9771The introduction of fractional derivatives into the cancer treatment model continues to be improved with current cancer treatment. In this work, we define a new time-fractional nonlinear Burgess equation in order to model the brain tumor growth under treatment. The new mathematical model is in agreement with the clinical data proposed by Stupp et al. (2005). The numerical processing of this model is based on the splitting method which makes it possible to avoid and relax several numerical problems. The numerical results obtained are very satisfactory and excellent. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2025.eninfo:eu-repo/semantics/closedAccessBook Part10.1007/978-981-97-8715-9_22-s2.0-105000797704