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.

引用

页数：12

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