A General Fractional Pollution Model for Lakes
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Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springernature
Open Access Color
Green Open Access
No
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No
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Top 10%
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Top 10%
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Top 10%
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.
Description
Shiri, Babak/0000-0003-2249-282X
ORCID
Keywords
Amount Of Pollution In Lakes, System Of Ordinary Differential Equations, System Of Fractional Differential Equations, Explicit And Implicit Methods, Regularity Of The Solution, Qualitative investigation and simulation of models involving functional-differential equations, system of fractional differential equations, Ecology, Volterra integral equations, regularity of the solution, amount of pollution in lakes, system of ordinary differential equations, Functional-differential equations with fractional derivatives, explicit and implicit methods
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Shiri, Babak; Baleanu, Dumitru (2021). "A General Fractional Pollution Model for Lakes", Communications on Applied Mathematics and Computation.
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
29
Source
Communications on Applied Mathematics and Computation
Volume
4
Issue
3
Start Page
1105
End Page
1130
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Citations
CrossRef : 16
Scopus : 33
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