%0 Journal Article
%T An Efficient Approach for Solving Fractional Dynamics of a Predator-Prey System | Mohamed Ali | Modern Applied Science | CCSE
%A Hegagi Mohamed Ali
%A Ismail Gad Ameen
%J Home | Modern Applied Science | CCSE
%D 2019
%R 10.5539/mas.v13n11p116
%X In this work, we execute a generally new analytical technique, the modified generalized Mittag-Leffler function method (MGMLFM) for solving nonlinear partial differential equations containing fractional derivative emerging in predator-prey biological population dynamics system. This dynamics system are given by a set of fractional differential equations in the Caputo sense. A new solution is constructed in a power series. The stability of equilibrium points is studied. Moreover, numerical solutions for different cases are given and the methodology is displayed. We conducted a comparing between the results obtained by our method with the results obtained by other methods to illustrate the reliability and effectiveness of our main results
%U http://www.ccsenet.org/journal/index.php/mas/article/view/0/41089