Well-posedness and stability for fuzzy fractional differential equations

被引：0

作者：

Zhang, Xuping ^{[1
]}

Xi, Yanli ^{[1
]}

O'Regan, Donal ^{[2
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

[2] Natl Univ Ireland, Sch Math & Stat Sci, Galway, Ireland

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2022年

关键词：

fuzzy fractional differential equations; hyperbolic function; Banach fixed point theorem; HYERS-ULAM STABILITY;

D O I：

10.15388/namc.2022.27.28096

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider the existence and uniqueness of solutions for a class of initial value problems of fuzzy Caputo-Katugampola fractional differential equations and the stability of the corresponding fuzzy fractional differential equations. The discussions are based on the hyper-bolic function, the Banach fixed point theorem and an inequality property. Two examples are given to illustrate the feasibility of our theoretical results.

引用

页码：980 / 993

页数：14

共 35 条

[1] A survey on fuzzy fractional differential and optimal control nonlocal evolution equations [J].

Agarwal, Ravi P. ;

Baleanu, Dumitru ;

Nieto, Juan J. ;

Torres, Delfim F. M. ;

Zhou, Yong .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 339 :3-29

[2] On the concept of solution for fractional differential equations with uncertainty [J].

Agarwal, Ravi P. ;

Lakshmikantham, V. ;

Nieto, Juan J. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (06) :2859-2862

[3] Explicit solutions of fractional differential equations with uncertainty [J].

Allahviranloo, T. ;

Salahshour, S. ;

Abbasbandy, S. .

SOFT COMPUTING, 2012, 16 (02) :297-302

[4]

Allahviranloo T., 2013, J. Fuzzy Set Valued Anal, V2013, P00163

[5] A Fuzzy Method for Solving Fuzzy Fractional Differential Equations Based on the Generalized Fuzzy Taylor Expansion [J].

Allahviranloo, Tofigh ;

Noeiaghdam, Zahra ;

Noeiaghdam, Samad ;

Nieto, Juan J. .

MATHEMATICS, 2020, 8 (12) :1-24

[6]

[Anonymous], 2002, The Fractional Calculus: Theory and Applications of Differentiation and Integration to Aribitrary Order

[7] Solution of fuzzy fractional order differential equations by fractional Mellin transform method [J].

Azhar, Noreen ;

Iqbal, Saleem .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 400

[8] Ulam's stability of a generalization of the Frechet functional equation [J].

Bahyrycz, Anna ;

Brzdek, Janusz ;

Jablonska, Eliza ;

Malejki, Renata .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 442 (02) :537-553

[9] 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

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

Bede, Barnabas ;

Stefanini, Luciano .

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

← 1 2 3 4 →