On a discretization process of fractional-order Logistic differential equation
El Raheem, Z., Salman, S. (2014). On a discretization process of fractional-order Logistic differential equation. EKB Journal Management System, 22(3), 407-412.
Z.F. El Raheem; S.M. Salman. "On a discretization process of fractional-order Logistic differential equation". EKB Journal Management System, 22, 3, 2014, 407-412.
El Raheem, Z., Salman, S. (2014). 'On a discretization process of fractional-order Logistic differential equation', EKB Journal Management System, 22(3), pp. 407-412.
El Raheem, Z., Salman, S. On a discretization process of fractional-order Logistic differential equation. EKB Journal Management System, 2014; 22(3): 407-412.

On a discretization process of fractional-order Logistic differential equation

Journal of the Egyptian Mathematical Society
Volume 22, Issue 3, October 2014, Page 407-412  XML PDF (2.03 MB)
Document Type: Original Article
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Authors
Z.F. El Raheem; S.M. Salman
Faculty of Education, Alexandria University, Alexandria, Egypt
Abstract
In this work we introduce a discretization process to discretize fractional-order differential
equations. First of all, we consider the fractional-order Logistic differential equation then, we
consider the corresponding fractional-order Logistic differential equation with piecewise constant
arguments and we apply the proposed discretization on it. The stability of the fixed points of the
resultant dynamical system and the Lyapunov exponent are investigated. Finally, we study some
dynamic behavior of the resultant systems such as bifurcation and chaos.
Keywords
Logistic differential equation; Piecewise constant arguments; Fractional-order differential equations; Fixed points; Lyapunov exponent; Bifurcation
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