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

  • 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
How to Cite
Khaleel, A. J., & Essa, H. F. (2018). The Generalized Taylor Expansion Method for Solving Some Types of Fractional Non-local Problems. Al-Nahrain Journal of Science, 17(4), 195-202. Retrieved from https://anjs.edu.iq/index.php/anjs/article/view/396
Section
Articles