Existence and Numerical Solution of the Volterra Fractional Integral Equations of the Second Kind

被引：11

作者：

Atangana, Abdon ^{[1
]}

Bildik, Necdet ^{[2
]}

机构：

[1] Univ Orange Free State, Fac Nat & Agr Sci, Inst Groundwater Studies, ZA-9300 Bloemfontein, South Africa

[2] Celal Bayar Univ, Fac Art & Sci, Dept Math, TR-45047 Manisa, Turkey

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2013年 / 2013卷

关键词：

DIFFUSION EQUATION; SYSTEMS;

D O I：

10.1155/2013/981526

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This work presents the possible generalization of the Volterra integral equation second kind to the concept of fractional integral. Using the Picard method, we present the existence and the uniqueness of the solution of the generalized integral equation. The numerical solution is obtained via the Simpson 3/8 rule method. The convergence of this scheme is presented together with numerical results.

引用

页数：11

共 37 条

[1] Chebyshev polynomial solutions of systems of linear integral equations [J].