Generalized differential transform method for fractional differential equations

Other Title(s)

طريقة التحويل التفاضلي المعممة للمعادلات التفاضلية الكسرية

Dissertant

Barakat, Fahmi Suhayl

Thesis advisor

al-Saqqa, Ayman Hashim

University

Islamic University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (Gaza Strip)

Degree

Master

Degree Date

2018

English Abstract

The Fractional Calculus is a useful mathematical tool for applied sciences.

Nevertheless, fractional calculus is somehow hard to tackle.

Fractional calculus is a generalization of classical calculus in which the order of the derivative can be any complex number.

In this thesis, we talked about the fractional calculus and we review some examples and some basic properties and theorems for fractional calculus.

Moreover we will study the generalized Taylor’s formula and we will talk about the generalized differential transform method extensively because it is the most important in this thesis.

Then we explain some examples on fractional integrodifferential equations and solve it by generalized differential transform method and sole the fractional first Painlev´e equation by the same method.

Main Subjects

Mathematics

Topics

• Fractional differential equations

No. of Pages

78

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-901342