An Efficient Hybrid Method and Its Convergence Analysis for Solving Volterra Integro-Differential Equations with Fractional Order

被引:0
作者
Hesameddini, Esmail [1 ]
Rahimi, Azam [1 ]
机构
[1] Shiraz Univ Technol, Dept Math, POB 71555-313, Shiraz, Iran
来源
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2019年 / 43卷 / A2期
关键词
Fractional Volterra integro-differential equations; Reconstruction of variational iteration method; Stability; Convergence; POPULATION-GROWTH MODEL; APPROXIMATION;
D O I
10.1007/s40995-017-0401-z
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, we apply an efficient hybrid method for solving the fractional Volterra integro-differential equations. The method is based upon hybrid approach consisting a coupling of variational iteration method and Laplace transform. This work extends and applied a novel and simple method to obtain rigorously reliable and accurate results. The stability and convergence of presented method are analyzed by some theorems. Also, several numerical examples are carried out to confirm the validity and efficiency of proposed approach. Moreover, the fractional Volterra population growth model is considered by our method as an application.
引用
收藏
页码:555 / 565
页数:11
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