Neumann method for solving conformable fractional Volterra integral equations

Ilie, Mousa; Biazar, Jafar; Ayati, Zainab

doi:10.22034/cmde.2019.9498

Neumann method for solving conformable fractional Volterra integral equations

Document Type : Research Paper

Authors

¹ Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

² Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box. 41335-1914, Guilan, Rasht, Iran

³ Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan P.C.44891-Rudsar-Vajargah,Iran

10.22034/cmde.2019.9498

Abstract

This paper deals with the solution of a class of Volterra integral equations in the sense of the conformable fractional derivative. For this goal, the well-organized Neumann method is developed and some theorems related to existence, uniqueness, and sufficient condition of convergence are presented. Some illustrative examples are provided to demonstrate the efficiency of the method in solving conformable fractional Volterra integral equations.

Keywords