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A Jacobi Operational Matrix for Solving a Fuzzy Linear Fractional Differential Equation

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2013

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Springer international Publishing Ag

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Abstract

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.

Description

Salahshour, Soheil/0000-0003-1390-3551; Ahmadian, Ali/0000-0002-0106-7050

Keywords

Fuzzy Fractional Differential Equation, Caputo-Type Fuzzy Fractional Derivative, Single-Term Caputo Fractional Differential Equation, Jacobi Polynomials, Operational Matrix

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Citation

Ahmadian, Ali...et al. (20139. "A Jacobi operational matrix for solving a fuzzy linear fractional differential equation", Advances In Difference Equations.

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82

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CrossRef : 36

Scopus : 117

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