arXiv subjects

Gaston M. N'Guerekata

Publications and source records attributed to Gaston M. N'Guerekata.

2 recordsLinked to original sources

arXiv2019

Global stability of a Leslie-Gower-type fractional order tritrophic food chain model

Recently, the dynamical behaviors of a fractional order three species food chain model was studied by Alidousti and Ghahfarokhi ({\it Nonlinear Dynamics, doi: org/10.1007/s11071-018-4663-6, 2018}). They proved both the local and global asymptotic stability of all equilibrium points except the interior one. This work extends their work and gives proof of both the local and global stability analysis of the interior equilibrium point. Numerical examples are also provided to substantiate the analytical findings.

math.DS↗

arXiv2013

Existence of asymptotic almost automorphic solutions of fractional integro differential equations with non local conditions

This paper deals with the existence of asymptotic almost automorphic solution of fractional integro differential equation. We prove the result by using fixed point theorems. We show the result with Lipschitz condition and without Lipschitz condition on the forcing term. At the end examples have been given to illustrate the analytical findings.

math.CA↗