A Note on the Stability Analysis of Fuzzy Nonlinear Fractional Differential Equations Involving the Caputo Fractional Derivative

被引：13

作者：

El Mfadel, Ali ^{[1
]}

Melliani, Said ^{[1
]}

Elomari, M'hamed ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Lab Appl Math & Sci Comp, Beni Mellal, Morocco

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES | 2021年 / 2021卷

关键词：

D O I：

10.1155/2021/7488524

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present and establish a new result on the stability analysis of solutions for fuzzy nonlinear fractional differential equations by extending Lyapunov's direct method from the fuzzy ordinary case to the fuzzy fractional case. As an application, several examples are presented to illustrate the proposed stability result.

引用

页数：6

共 21 条

[1] Stability of Caputo fractional differential equations by Lyapunov functions [J].

Agarwal, Ravi ;

O'Regan, Donal ;

Hristova, Snezhana .

APPLICATIONS OF MATHEMATICS, 2015, 60 (06) :653-676

[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] Global solutions for nonlinear fuzzy fractional integral and integrodifferential equations [J].

Alikhani, Robab ;

Bahrami, Fariba .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (08) :2007-2017

[4] Fuzzy fractional differential equations under generalized fuzzy Caputo derivative [J].

Allahviranloo, T. ;

Armand, A. ;

Gouyandeh, Z. .

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (03) :1481-1490

[5]

[Anonymous], 1980, Fuzzy Sets and Systems: Theory and Applications

[6] On the fractional differential equations with uncertainty [J].

Arshad, Sadia ;

Lupulescu, Vasile .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (11) :3685-3693

[7] Fractional equations and generalizations of Schaefer's and Krasnoselskii's fixed point theorems [J].

Burton, T. A. ;

Zhang, Bo .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (18) :6485-6495

[8] A note on initial value problems for fractional fuzzy differential equations [J].

Hoa Van Ngo ;

Lupulescu, Vasile ;

O'Regan, Donal .

FUZZY SETS AND SYSTEMS, 2018, 347 :54-69

[9] Numerical solutions of interval-valued fractional nonlinear differential equations [J].

Huang, Lan-Lan ;

Liu, Bao-Qing ;

Baleanu, Dumitru ;

Wu, Guo-Cheng .

EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (05)

[10] Fractional discrete-time diffusion equation with uncertainty: Applications of fuzzy discrete fractional calculus [J].

Huang, Lan-Lan ;

Baleanu, Dumitru ;

Mo, Zhi-Wen ;

Wu, Guo-Cheng .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 508 :166-175

← 1 2 3 →