Numerical bifurcation of predator-prey fractional differential equations with a constant rate harvesting

In this article saddle and Hopf bifurcation points of predator-prey fractional differential equations system with a constant rate harvesting are investigated. The numerical results based on Grunwald-Letnikov discretization for fractional differential equations together with the Mickens' non-standard discretization method agree with those found by the corresponding ordinary differential equation system

Phase Synchronization in Coupled Sprott Chaotic Systems Presented by Fractional Differential Equations

Phase synchronization occurs whenever a linearized system describing the evolution of the difference between coupled chaotic systems has at least one eigenvalue with zero real part. We illustrate numerical phase synchronization results and stability analysis for some coupled Sprott chaotic systems presented by fractional differential equations

Nonexistence results for the Cauchy problem for some fractional nonlinear systems of thermo-elasticity type

We study the nonexistence of global solutions to the Cauchy problem for systems of parabolic-hyperbolic or hyperbolic thermo-elasticity equations posed in RN. For power nonlinearities, we present threshold critical exponents depending on the space dimension N. Our method of proof rests on the nonlinear capacity method. 2016 WILEY-VCH Verlag GmbH & Co. KGaA, WeinheimThis publication was made possible by NPRP Grant NPRP 6?137?1?026 from the Qatar National Research Fund (a member of Qatar Foundation). The statements made herein are solely the responsibility of the authors.Scopu