On solution of functional integral equation of fractional order

被引：13
|
作者：
Mollapourasl, R. [1 ]
Ostadi, A. [1 ]
机构：
[1] Shahid Rajaee Teacher Training Univ, Sch Math, Tehran 16788, Iran
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 270卷
关键词：
Functional integral equation of fractional order; Measure of noncompactness; Fixed point theorem; Stability;
D O I：
10.1016/j.amc.2015.08.068
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to investigate existence and stability of the solution of the functional integral equations of fractional order arising in physics, mechanics and chemical reactions. These equations are considered in the Banach space of real functions defined, continuous and bounded on an unbounded interval R+. The main tools used in our considerations are the concept of a measure of noncompactness and the classical Schauder fixed point theorem. Also, the numerical method is employed successfully for solving these functional integral equations of fractional order. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：631 / 643
页数：13
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