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The numerical solution of fractional differential chaotic system
Other Title(s)
الحلول الرقمية لنظام فوضوي كسري
Dissertant
Thesis advisor
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2009
English Abstract
In this thesis we present approximate numerical solutions for nonlinear systems of fractional Differential equations using Mickeys non-standard discretization method.
The method is applied to the Rosslea and Rosslea hyper fractional chaotic systems.
The numerical results show that the approach is easy to implement and accurate when applied to systems of fractional differential equations.
The Mickeys non- standard discretization method in this thesis can be widely implemented to solve linear and nonlinear systems of differential equation of fractional order.
Main Subjects
Topics
No. of Pages
46
Table of Contents
Table of contents.
Abstract.
Chapter one : Introduction.
Chapter two : Fundamentals of fractional calculus and mickens method.
Chapter three : Applications of the non-standard discretization scheme to rossler and rossler hyper chaotic systems.
References.
American Psychological Association (APA)
al-Rwalah, Jamil Muizzi. (2009). The numerical solution of fractional differential chaotic system. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-303731
Modern Language Association (MLA)
al-Rwalah, Jamil Muizzi. The numerical solution of fractional differential chaotic system. (Master's theses Theses and Dissertations Master). Mutah University. (2009).
https://search.emarefa.net/detail/BIM-303731
American Medical Association (AMA)
al-Rwalah, Jamil Muizzi. (2009). The numerical solution of fractional differential chaotic system. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-303731
Language
English
Data Type
Arab Theses
Record ID
BIM-303731