Fractional Hamilton-Jacobi equation within Caputo’s derivative

Other Title(s)

معادلة هاملتن-جاكوبي الكسرية باستخدام تعريف كابيتو

Dissertant

al-Maayitah, Ibtesam Farhan Awdah

Thesis advisor

Rabi, Iqab Mahmud

University

Mutah University

Faculty

Faculty of Science

Department

Department of physics

University Country

Jordan

Degree

Master

Degree Date

2007

English Abstract

-In this thesis , the fractional Hmilton-Jacobi formulation for dynamical systems in terms of Caputo derivatives is studied .

The fractional action function is obtained and the solutions of the equations of the motion are recovered .

Two problems are considered to demonstrate the application of the formalism .

the results are found to be in exact agreement with Agrawal's formalism .

Main Subjects

Mathematics

Topics

No. of Pages

25

Table of Contents

Table of contents.

Abstract.

Chapter one : Introduction.

Chapter two : Introduction to fractional derivative.

Chapter three : Fractional lagranging and Hamiltonian formulation within Caputo's derivative.

Chapter four : Hamilton-Jacobi formulation of systems within Caputo's derivative.

References.

American Psychological Association (APA)

al-Maayitah, Ibtesam Farhan Awdah. (2007). Fractional Hamilton-Jacobi equation within Caputo’s derivative. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-304601

Modern Language Association (MLA)

al-Maayitah, Ibtesam Farhan Awdah. Fractional Hamilton-Jacobi equation within Caputo’s derivative. (Master's theses Theses and Dissertations Master). Mutah University. (2007).
https://search.emarefa.net/detail/BIM-304601

American Medical Association (AMA)

al-Maayitah, Ibtesam Farhan Awdah. (2007). Fractional Hamilton-Jacobi equation within Caputo’s derivative. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-304601

Language

English

Data Type

Arab Theses

Record ID

BIM-304601