Neumann method for solving conformable fractional Volterra integral equations

被引：5
|
作者：
Ilie, Mousa [1 ]
Biazar, Jafar [2 ]
Ayati, Zainab [3 ]
机构：
[1] Islamic Azad Univ, Rasht Branch, Dept Math, Rasht, Iran
[2] Univ Guilan, Fac Math Sci, Dept Appl Math, POB 41335-1914, Guilan, Rasht, Iran
[3] Univ Guilan, Fac Technol & Engn, Dept Engn Sci, Rudsar Vajargah 4489163157, Iran
来源：
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2020年 / 8卷 / 01期
关键词：
Volterra integral equations; Conformable fractional derivative; Neumann method; Existence; uniqueness; sufficient condition of convergence; KLEIN-GORDON EQUATIONS; CALCULUS;
D O I：
10.22034/cmde.2019.9498
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：54 / 68
页数：15
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