Exact solution for fractional DRLC circuit in Caputo definition

Other Title(s)

الحل الدقيق لدوائر (السعة و المحاثة و المقاومة الكهربائية)‎ المتخامدة في تعريف كابوتو الجزئي

Dissertant

al-Bashabshih, Sundus Ali Khalaf

Thesis advisor

Jaradat, Imad Khalid Yusuf

Comitee Members

al-Uqayli, Amir Dakhil
al-Sarayirah, Shirin Abd al-Qadir
Hajjawi, Raid Shakir

University

Mutah University

Faculty

Faculty of Science

Department

Department of physics

University Country

Jordan

Degree

Master

Degree Date

2016

English Abstract

In this work, and through the use of the definition of the Laplace transform we have found a solution for second order differential equation, representing the circuit of resistance, inductance, and capacitance. The aim of this study is to find the exact solution to the damped of resistance and inductance and capacitance circuit (DRLC), by using fractional Laplace transform in the Caputo definition.

Using the boundary condition to find the general solution, in addition we explain the three cases of damping (critical damping, over damping, and under damping), then we plot these solutions through programmatic of the Mathematica 6 edition , then we make the comparison between the classical solution and fractional solution .

Main Subjects

Physics

No. of Pages

49

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Chapter One : Introduction.

Chapter Two : Fractional Laplace transform.

Chapter Three : Laplace transform for damping RLC circuit.

Chapter Four : Fractional Laplace transform for damping RLC circuit in caputo definition.

References.

American Psychological Association (APA)

al-Bashabshih, Sundus Ali Khalaf. (2016). Exact solution for fractional DRLC circuit in Caputo definition. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-731641

Modern Language Association (MLA)

al-Bashabshih, Sundus Ali Khalaf. Exact solution for fractional DRLC circuit in Caputo definition. (Master's theses Theses and Dissertations Master). Mutah University. (2016).
https://search.emarefa.net/detail/BIM-731641

American Medical Association (AMA)

al-Bashabshih, Sundus Ali Khalaf. (2016). Exact solution for fractional DRLC circuit in Caputo definition. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-731641

Language

English

Data Type

Arab Theses

Record ID

BIM-731641