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.

引用

页码：2777 / 2784

页数：8

共 50 条

[41] DERIVATIVE-FREE INVERSION OF ABEL INTEGRAL-EQUATION
DEUTSCH, M
BENIAMINY, I
APPLIED PHYSICS LETTERS, 1982, 41 (01) : 27 - 28
[42] The numerical solution of an Abel integral equation by the optimal quadrature formula
Hayotov, Abdullo
Babaev, Samandar
Boytillayev, Bobomurod
RESULTS IN APPLIED MATHEMATICS, 2025, 25
[43] A stable numerical inversion of generalized Abel's integral equation
Dixit, Sandeep
Singh, Om P.
Kumar, Sunil
APPLIED NUMERICAL MATHEMATICS, 2012, 62 (05) : 567 - 579
[44] INVERSION OF ABEL INTEGRAL-EQUATION FOR EXPERIMENTAL-DATA
DEUTSCH, M
BENIAMINY, I
JOURNAL OF APPLIED PHYSICS, 1983, 54 (01) : 137 - 143
[45] EXISTENCE THEORY FOR AN ABEL INTEGRAL-EQUATION - PRELIMINARY REPORT
ATKINSON, KE
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (06): : A696 - &
[46] Numerical solution of a nonlinear Abel type Volterra integral equation
Diogo, T
Lima, P
Rebelo, M
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2006, 5 (02) : 277 - 288
[47] Solution of Abel's integral equation using Tikhonov regularization
Daun, K. J.
Thomson, K. A.
Liu, F.
Smallwood, G. J.
Energy Conversion and Resources - 2005, 2005, : 301 - 308
[48] SOLUTION OF ABEL'S INTEGRAL EQUATION BY KASHURI FUNDO TRANSFORM
Cuha, Fatma Aybike
Peker, Haldun Alpaslan
THERMAL SCIENCE, 2022, 26 (04): : 3003 - 3010
[49] Numerical solution of Abel's integral equation by using Legendre wavelets
Yousefi, Sohrab Ali
APPLIED MATHEMATICS AND COMPUTATION, 2006, 175 (01) : 574 - 580
[50] SOLUTION FOR THE ABEL GENERALIZED INTEGRAL-EQUATION WITH CONSTANT-COEFFICIENTS
GANEEV, RM
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1982, (06): : 14 - 18

← 1 2 3 4 5 →