Publication:
Fractional kinetics in a spatial ecology model

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Silva, José Luís da
Kondratiev, Yuri
Tkachov, Pasha

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In this paper we study the effect of subordination to the solution of a model of spatial ecology in terms of the evolution density. The asymptotic behavior of the subordinated solution for different rates of spatial propagation is studied. The difference between subordinated solutions to non-linear equations with classical time derivative and solutions to non-linear equation with fractional time derivative is discussed.

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Configuration space, long-rime behavior, front propagation, traveling waves, subordination principle, , , , ,

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Silva, J. L. da. Fractional kinetics in a spatial ecology model / J. L. da Silva, Yu.Kondratiev, P. Tkachov // Methods of Functional Analysis and Topology : Quarterly journal. – 2018. – Vol. 24, № 3. – pp. 275-287.

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