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

作者：Ahmadian Ali^*; Suleiman Mohamed; Salahshour Soheil; Baleanu Dumitru

来源：Advances in Difference Equations, 2013, 2013(1): 104.

DOI：10.1186/1687-1847-2013-104

• fuzzy fractional differential equation
• Caputo-type fuzzy fractional derivative
• single-term Caputo fractional differential equation
• Jacobi polynomials
• operational matrix

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.

• 出版日期2013