Interval Abel integral equation

被引：17
|
作者：
Lupulescu, Vasile [1 ]
Ngo Van Hoa [2 ,3 ]
机构：
[1] Constantin Brancusi Univ, Targu Jiu, Romania
[2] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
[3] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
来源：
SOFT COMPUTING | 2017年 / 21卷 / 10期
关键词：
Interval Abel integral equation; Interval-valued Riemann-Liouville fractional integral; DIFFERENTIAL-EQUATIONS; VALUED FUNCTIONS; HUKUHARA DIFFERENTIABILITY; CALCULUS;
D O I：
10.1007/s00500-015-1980-2
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we use a generalization of the Riemann-Liouville fractional integral for interval-valued functions to study a theory of the interval Abel integral equation (IAIE). Our aim is to clarify under which suitable conditions the IAIE is solvable. The theory is illustrated by solving some examples.
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页码：2777 / 2784
页数：8
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