Fuzzy differential equations with Riemann-Liouville generalized fractional integrable impulses

被引：6

作者：

Truong Vinh An ^{[1
]}

Ngo Van Hoa ^{[2
,3
]}

机构：

[1] Ho Chi Minh City Univ Technol & Educ, Fac Appl Sci, Ho Chi Minh City, Vietnam

[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：

FUZZY SETS AND SYSTEMS | 2022年 / 429卷

关键词：

Fuzzy-type Riemann-Liouville generalized fractional integral; Impulsive fuzzy differential equations; Hyers-Ulam-Rassias stability; INTERVAL-VALUED FUNCTIONS; ULAM STABILITY; EXISTENCE;

D O I：

10.1016/j.fss.2021.01.001

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We introduce a new class of fuzzy differential equations with noninstantaneous impulses represented by the Riemann-Liouville generalized fractional integral. We investigate the existence of the solution and two types of Hyers-Ulam-Rassias stability of the aforementioned problem via the Banach fixed-point theorem. Some illustrate examples are also presented. (c) 2021 Elsevier B.V. All rights reserved.

引用

页码：74 / 100

页数：27

共 49 条

[1] Analytical and numerical solutions of fuzzy differential equations [J].

Ahmad, M. Z. ;

Hasan, M. K. ;

De Baets, B. .

INFORMATION SCIENCES, 2013, 236 :156-167

[2] Uncertain viscoelastic models with fractional order: A new spectral tau method to study the numerical simulations of the solution [J].

Ahmadian, A. ;

Ismail, F. ;

Salahshour, S. ;

Baleanu, D. ;

Ghaemi, F. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 53 :44-64

[3] Numerical solutions of fuzzy differential equations by an efficient Runge-Kutta method with generalized differentiability [J].

Ahmadian, Ali ;

Salahshour, Soheil ;

Chan, Chee Seng ;

Baleanu, Dumitru .

FUZZY SETS AND SYSTEMS, 2018, 331 :47-67

[4] A new method for solving fuzzy integro-differential equation under generalized differentiability [J].

Allahviranloo, T. ;

Abbasbandy, S. ;

Sedaghgatfar, O. ;

Darabi, P. .

NEURAL COMPUTING & APPLICATIONS, 2012, 21 :S191-S196

[5] Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations [J].

Bede, B ;

Gal, SG .

FUZZY SETS AND SYSTEMS, 2005, 151 (03) :581-599

[6] Generalized differentiability of fuzzy-valued functions [J].

Bede, Barnabas ;

Stefanini, Luciano .

FUZZY SETS AND SYSTEMS, 2013, 230 :119-141

[7]

Benchohra M, 2007, Communications in Applied Analysis, V11, P379

[8] Impulsive fractional differential equations with variable times [J].

Benchohra, Mouffak ;

Berhoun, Farida .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (03) :1245-1252

[9] Calculus for interval-valued functions using generalized Hukuhara derivative and applications [J].

Chalco-Cano, Y. ;

Rufian-Lizana, A. ;

Roman-Flores, H. ;

Jimenez-Gamero, M. D. .

FUZZY SETS AND SYSTEMS, 2013, 219 :49-67

[10] On the existence and stability for noninstantaneous impulsive fractional integrodifferential equation [J].

da Costa Sousa, Jose Vanterler ;

Oliveira, Daniela dos Santos ;

de Oliveira, Edmundo Capelas .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (04) :1249-1261

← 1 2 3 4 5 →