الفهرس 
BibliographyOnly 14 pages are availabe for public view
 |  | from | 92 |  |  |
| | | from | 92 | | |
Abstract
The main goal of this thesis is to study the dynamics of a Riccati differential
equation with perturbed delay and its fractional-order equation and introduce
a new concept of perturbed delay. The study focuses on understanding the behaviour
of the solution through the application of analytical techniques to investigate
the existence and uniqueness of the solution and its continuous dependence
on initial conditions. Analyses of Hopf bifurcations and the local stability of fixed
points are conducted. Utilising piecewise constant arguments, the discrete system
is generated in order to simulate the behaviour of the system under consideration.
The local stability analysis of the fixed points of the discrete system is presented.
Numerical simulations using phase diagrams, Lyapunov exponents, and bifurcation
diagrams are illustrated. This helps confirm our study and unearth more complex
dynamics. The results of theoretical investigations of the Riccati differential
equation with delay, its fractional-order equation, and their perturbed equations
are compared.