[PDF][PDF] A numerical solution of a coupling system of conformable time-derivative two-dimensional Burger's equations

I Mous, A Laouar - Kragujevac J Mathem, 2024 - imi.pmf.kg.ac.rs
I Mous, A Laouar
Kragujevac J Mathem, 2024imi.pmf.kg.ac.rs
1. Introduction In the last two decades, the fractional derivatives regained an important
interest, and have been widely used in various fields, such as modelling viscoelastic
problems, signal processing, control theory, finance, etc. Thus, many classical mathematical
models have been reformulated into new models with fractional-order derivatives for their
important numerous applications (see [7, 8, 10, 13, 16]). As a result, the scientists introduced
different fractional derivative definitions (see [4, 5, 10]): Caputo
1. Introduction In the last two decades, the fractional derivatives regained an important interest, and have been widely used in various fields, such as modelling viscoelastic problems, signal processing, control theory, finance, etc. Thus, many classical mathematical models have been reformulated into new models with fractional-order derivatives for their important numerous applications (see [7, 8, 10, 13, 16]). As a result, the scientists introduced different fractional derivative definitions (see [4, 5, 10]): Caputo
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