Solutions of fractional order delay differential equations. +CD

number: 
1886
English
Degree: 
Imprint: 
Mathematics and Computer Applications
Author: 
Fager Adnan Abdul Khalik
Supervisor: 
Dr. Alaudeen N. Ahmed
year: 
2008
Abstract:

The Fractional Order Bounded Delay Differential Equations (FOBDDE's) has been studied in this work. The Existence and Uniqueness theorems of such type of differential equation have been proved, by using the successive approximation techniques. Also, the analytic solution of (FOBDDE's) are presented, using Laplace Transformation, and the numerical solutions are discussed, using general one-step methods and linear multi-step methods. The comparison, among these methods and the exact solutions are presented .