The Generalized Taylor Expansion Method for Solving Some Types of Fractional Non-local Problems

Authors

  • Ahlam Jameel Khaleel Department of Mathematics, College of Science, Al-Nahrain University, Baghdad-Iraq.
  • Hala Fouad Essa Department of Mathematics, College of Science, Al-Nahrain University, Baghdad-Iraq.

Keywords:

Non-Local Problems, Taylor Expansion Method, Fractional Fredholm-Voltera Integro-Differential Equations

Abstract

The aim of this paper is to prove the existence and the uniqueness of the solution for some types of fractional non-local problems, namely the non-linear non-local initial value problems for fractional Fredholm-Volterra integro-differential equations. Also, the generalized Taylor expansion method is used to solve the non-local initial value problem that consists of the linear fractional Fredholm-Volterraintegro-differential equation together with the linear non-local initial condition with some illustrative examples.

 

Published

2018-06-26

Issue

Section

Articles

How to Cite

(1)
The Generalized Taylor Expansion Method for Solving Some Types of Fractional Non-Local Problems. ANJS 2018, 17 (4), 195-202.