A Jacobi operational matrix for solving a fuzzy linear fractional differential equation

被引：90
|
作者：
Ahmadian, Ali [1 ]
Suleiman, Mohamed [1 ]
Salahshour, Soheil [2 ]
Baleanu, Dumitru [3 ,4 ,5 ]
机构：
[1] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, Malaysia
[2] Islamic Azad Univ, Mobarakeh Branch, Young Researchers & Elite Club, Mobarakeh, Iran
[3] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, TR-0630 Ankara, Turkey
[4] King Abdulaziz Univ, Dept Chem & Mat Engn, Fac Engn, Jeddah 21589, Saudi Arabia
[5] Inst Space Sci, Bucharest, Romania
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词：
fuzzy fractional differential equation; Caputo-type fuzzy fractional derivative; single-term Caputo fractional differential equation; Jacobi polynomials; operational matrix; NUMBER-VALUED FUNCTIONS; INITIAL-VALUE PROBLEM; NUMERICAL-SOLUTION; ADOMIAN DECOMPOSITION; ORDER; POLYNOMIALS; SYSTEM; ALGORITHM; DIFFUSION;
D O I：
10.1186/1687-1847-2013-104
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper reveals a computational method based using a tau method with Jacobi polynomials for the solution of fuzzy linear fractional differential equations of order . A suitable representation of the fuzzy solution via Jacobi polynomials diminishes its numerical results to the solution of a system of algebraic equations. The main advantage of this method is its high robustness and accuracy gained by a small number of Jacobi functions. The efficiency and applicability of the proposed method are proved by several test examples.
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页数：29
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