The numerical solution of fractional differential chaotic system

Other Title(s)

الحلول الرقمية لنظام فوضوي كسري

Dissertant

al-Rwalah, Jamil Muizzi

Thesis advisor

Mumani, Shahir

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

Mathematics

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