Fractional kinetics in a spatial ecology model

Authors

  • J. L. Silva CCM, University of Madeira, Campus da Penteada, 9020-105 Funchal, Portugal https://orcid.org/0000-0002-5207-1703
  • Yu. G. Kondratiev Department of Mathematics, University of Bielefeld, D-33615 Bielefeld, Germany; National Pedagogical Dragomanov University, Kyiv, Ukraine
  • P. Tkachov Department of Mathematics, University of Bielefeld, D-33615 Bielefeld, Germany

DOI:

Keywords:

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

Abstract

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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Published

2018-09-25

Issue

Vol. 24 No. 3 (2018)

Section

Articles

How to Cite

Silva, J. L., et al. “Fractional Kinetics in a Spatial Ecology Model”. Methods of Functional Analysis and Topology, vol. 24, no. 3, Sept. 2018, pp. 275-87, https://zen.imath.kiev.ua/index.php/mfat/article/view/701.