On the fractional differential equations with uncertainty

被引:174
作者
Arshad, Sadia [2 ]
Lupulescu, Vasile [1 ]
机构
[1] Constantin Brancusi Univ, Targu Jiu 210152, Romania
[2] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore, Pakistan
关键词
Fractional differential equation; Differential equation with uncertainty; Initial problem; UNIQUENESS; CALCULUS; INTEGRATION; EXISTENCE; SYSTEMS;
D O I
10.1016/j.na.2011.02.048
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is based on the concept of fuzzy differential equations of fractional order introduced by Agarwal et al. [R. P. Agarwal, V. Lakshmikantham, J.J. Nieto, On the concept of solution for fractional differential equations with uncertainty, Nonlinear Anal. 72 (2010) 2859-2862]. Using this concept, we prove some results on the existence and uniqueness of solutions of fuzzy fractional differential equations. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:3685 / 3693
页数:9
相关论文
共 36 条
[1]   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
[2]   Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions [J].
Ahmad, Bashir ;
Nieto, Juan J. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (09) :1838-1843
[3]  
[Anonymous], 2006, THEORY APPL FRACTION
[4]  
[Anonymous], 1993, INTRO FRACTIONAL CA
[5]  
[Anonymous], 1999, FRACTIONAL DIFFERENT
[6]   Almost automorphic mild solutions to fractional differential equations [J].
Araya, Daniela ;
Lizama, Carlos .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) :3692-3705
[7]   Existence of Periodic Solution for a Nonlinear Fractional Differential Equation [J].
Belmekki, Mohammed ;
Nieto, Juan J. ;
Rodriguez-Lopez, Rosana .
BOUNDARY VALUE PROBLEMS, 2009,
[8]   Fractional differential equations as alternative models to nonlinear differential equations [J].
Bonilla, B. ;
Rivero, M. ;
Rodriguez-Germa, L. ;
Trujillo, J. J. .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (01) :79-88
[9]   Some new existence results for fractional differential inclusions with boundary conditions [J].
Chang, Yong-Kui ;
Nieto, Juan J. .
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (3-4) :605-609
[10]   Periodic problems of first order uncertain dynamical systems [J].
Chen, Minghao ;
Li, Daohua ;
Xue, Xiaoping .
FUZZY SETS AND SYSTEMS, 2011, 162 (01) :67-78