Solving Fractional Order Logistic Equation by Approximate Analytical Methods

2016 ◽  
Vol 9 (2) ◽  
pp. 22-37 ◽  
Author(s):  
A. A. Al-Shomrani ◽  
Mohamed S. Mohamed ◽  
X. J. Yang
Keyword(s):  
Fractional Order ◽  
Analytical Methods ◽  
Logistic Equation ◽  
Approximate Analytical Methods

scholarly journals On the fractional-order logistic equation

2007 ◽  
Vol 20 (7) ◽  
pp. 817-823 ◽  
Author(s):  
A.M.A. El-Sayed ◽  
A.E.M. El-Mesiry ◽  
H.A.A. El-Saka
Keyword(s):  
Fractional Order ◽  
Logistic Equation

scholarly journals Analysis of logistic equation pertaining to a new fractional derivative with non-singular kernel

2017 ◽  
Vol 9 (2) ◽  
pp. 168781401769006 ◽  
Author(s):  
Devendra Kumar ◽  
Jagdev Singh ◽  
Maysaa Al Qurashi ◽  
Dumitru Baleanu
Keyword(s):  
Numerical Simulation ◽  
Fixed Point ◽  
Fractional Derivative ◽  
Fractional Order ◽  
Existence And Uniqueness ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Logistic Equation ◽  
Iterative Technique ◽  
Uniqueness Of The Solution

In this work, we aim to analyze the logistic equation with a new derivative of fractional order termed in Caputo–Fabrizio sense. The logistic equation describes the population growth of species. The existence of the solution is shown with the help of the fixed-point theory. A deep analysis of the existence and uniqueness of the solution is discussed. The numerical simulation is conducted with the help of the iterative technique. Some numerical simulations are also given graphically to observe the effects of the fractional order derivative on the growth of population.

Spatiotemporal chaos of fractional order logistic equation in nonlinear coupled lattices

2017 ◽  
Vol 52 ◽  
pp. 52-61 ◽  
Author(s):  
Ying-Qian Zhang ◽  
Xing-Yuan Wang ◽  
Li-Yan Liu ◽  
Yi He ◽  
Jia Liu
Keyword(s):  
Fractional Order ◽  
Spatiotemporal Chaos ◽  
Logistic Equation

On the Fractional-Order Logistic Equation with Two Different Delays

2011 ◽  
Vol 66a ◽  
pp. 223 ◽  
Author(s):  
El-Sayed A. M. A. ◽  
El-Saka H. A. A. ◽  
El-Maghrabi E. M.
Keyword(s):  
Fractional Order ◽  
Logistic Equation
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