Shiri, BabakBaleanu, DumitruBaleanu, Dumitru2022-02-212022-02-212022Shiri, Babak; Baleanu, Dumitru (2021). "A General Fractional Pollution Model for Lakes", Communications on Applied Mathematics and Computation.2096-63852661-8893https://doi.org/10.1007/s42967-021-00135-4Shiri, Babak/0000-0003-2249-282XA model for the amount of pollution in lakes connected with some rivers is introduced. In this model, it is supposed the density of pollution in a lake has memory. The model leads to a system of fractional differential equations. This system is transformed into a system of Volterra integral equations with memory kernels. The existence and regularity of the solutions are investigated. A high-order numerical method is introduced and analyzed and compared with an explicit method based on the regularity of the solution. Validation examples are supported, and some models are simulated and discussed.eninfo:eu-repo/semantics/closedAccessAmount Of Pollution In LakesSystem Of Ordinary Differential EquationsSystem Of Fractional Differential EquationsExplicit And Implicit MethodsRegularity Of The SolutionArticle431105113010.1007/s42967-021-00135-42-s2.0-85131854478WOS:000692961800001N/AQ2