Generalized Differential Transform Method for Fractional Differential Equations

Barakat, Fahmi S (2018) Generalized Differential Transform Method for Fractional Differential Equations. Masters thesis, الجامعة الإسلامية بغزة.

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Abstract

The Fractional Calculus is a useful mathematical tool for applied sciences. Nev- ertheless, 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 calcu- lus. Moreover we will study the generalized Taylor's formula and we will talk about the generalized di�erential transform method extensively because it is the most important in this thesis. Then we explain some examples on fractional integro- di�erential equations and solve it by generalized di�erential transform method and sole the fractional �rst Painlev�e equation by the same method.

Item Type: Thesis (Masters)
Subjects: Q Science > Q Science (General)
Depositing User: أ. دارين علي أحمد حمد
Date Deposited: 01 Mar 2021 11:29
Last Modified: 01 Mar 2021 11:29
URI: http://scholar.alaqsa.edu.ps/id/eprint/3743

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