Existence and uniqueness results for fractional differential equations with uncertainty

被引：79
|
作者：
Salahshour, S. [1 ]
Allahviranloo, T. [2 ]
Abbasbandy, S. [2 ]
Baleanu, D. [3 ,4 ]
机构：
[1] Islamic Azad Univ, Mobarakeh Branch, Young Researchers Club, Mobarakeh, Iran
[2] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran
[3] Cakaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey
[4] Inst Space Sci, Magurele, Romania
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2012年
关键词：
fuzzy fractional differential equations (FFDEs); Riemann-Liouville's H-differentiability; Caputo's H-differentiability;
D O I：
10.1186/1687-1847-2012-112
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence, uniqueness and approximate solutions of fuzzy fractional differential equations (FFDEs) under Caputo's H-differentiability. To this end, the concept of Riemann-Liouville's H-differentiability is introduced, and subsequently, the Caputo's H-differentiability is proposed. Moreover, the related fuzzy Volterra integral forms of FFDEs are obtained which are applied to construct two converge consequences of fuzzy-valued functions as approximated solutions of FFDEs.
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页数：12
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