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Article type: Research Article
Authors: Sin, Kinama; b | Chen, Minghaoa; *; 1 | Choi, Huicholb | Ri, Kwanga; c
Affiliations: [a] Department of Mathematics, Harbin Institute of Technology, Harbin, PR China | [b] Faculty of Mathematics, Kim Il Sung University, Pyongyang, D.P.R. of Korea | [c] Department of Applied Mathematics, Kim Chaek University of Technology, Pyongyang, D.P.R. of Korea
Correspondence: [*] Corresponding author. Minghao Chen, Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China. Tel.: +86 18646115127; E-mail: chenmh130264@hit.edu.cn.
Note: [1] This work was supported by the National Natural Science Foundation of China (Grant Nos. 11271099 and 11471088).
Abstract: In this paper, we have researched fractional Jacobi operational matrix for solving Fuzzy Linear Fractional Differential Equation of order 0 < ν < 1. By using fractional Jacobi operational matrix, it is to reduce the problem which obtain the approximative solution of Fuzzy Linear Fractional Differential Equation to solving of a system of Fuzzy Linear Algebraic Equation. We improved the accuracy of the numerical approximation of the solution by using fractional-order Jacobi functions and are verified by some examples.
Keywords: Fuzzy fractional differential equation, fractional-order Jacobi functions, Caputo-type fuzzy fractional derivative
DOI: 10.3233/JIFS-162374
Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 2, pp. 1041-1052, 2017
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