A General Fractional Pollution Model for Lakes

Shiri, Babak; Baleanu, Dumitru

dc.contributor.author	Shiri, Babak
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2022-02-21T13:11:40Z
dc.date.available	2022-02-21T13:11:40Z
dc.date.issued	2021
dc.identifier.citation	Shiri, Babak; Baleanu, Dumitru (2021). "A General Fractional Pollution Model for Lakes", Communications on Applied Mathematics and Computation.	tr_TR
dc.identifier.issn	2096-6385
dc.identifier.uri	http://hdl.handle.net/20.500.12416/5028
dc.description.abstract	A 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.	tr_TR
dc.language.iso	eng	tr_TR
dc.relation.isversionof	10.1007/s42967-021-00135-4	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess	tr_TR
dc.subject	Amount of Pollution in Lakes	tr_TR
dc.subject	System of Ordinary Differential Equations	tr_TR
dc.subject	System of Fractional Differential Equations	tr_TR
dc.subject	Explicit and Implicit Methods	tr_TR
dc.subject	Regularity of the Solution	tr_TR
dc.title	A General Fractional Pollution Model for Lakes	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Communications on Applied Mathematics and Computation	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü	tr_TR