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

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 The absolute error of the proposed method for Example 3 with different values of α , β and $m = 9$

(α,β)	(0,0)	(0.5,0)	(0,0.5)	(0.5,0.5)	(0,0)	(0.5,0)	(0,0.5)	(0.5,0.5)
r	$E_{0.95}^{1}$	$E_{0.95}^{2}$	$E_{0.95}^{3}$	$E_{0.95}^{4}$	$E_{0.95}^{1}$	$E_{0.95}^{2}$	$E_{0.95}^{3}$	$E_{0.95}^{4}$
0	5.4570e−6	1.1057e−4	7.6066e−5	1.0236e−4	5.5968e−6	1.1264e−4	7.7085e−5	1.0411e−4
0.1	4.9043e−6	9.9417e−5	6.8409e−5	9.2044e−5	5.0441e−6	1.0148e−4	6.9428e−5	9.3793e−5
0.2	4.3516e−6	8.8256e−5	6.0751e−5	8.1720e−5	4.4914e−6	9.0325e−5	6.1770e−5	8.3469e−5
0.3	3.7989e−6	7.7094e−5	5.3093e−5	7.1396e−5	3.9387e−6	7.9164e−5	5.4112e−5	7.3144e−5
0.4	3.2462e−6	6.5933e−5	4.5436e−5	6.1071e−5	3.3860e−6	6.8002e−5	4.6455e−5	6.2820e−5
0.5	2.6935e−6	5.4772e−5	3.7778e−5	5.0747e−5	2.8333e−6	5.6841e−5	3.8797e−5	5.2496e−5
0.6	2.1408e−6	4.3610e−5	3.0120e−5	4.0423e−5	2.2806e−6	4.5679e−5	3.1140e−5	4.2171e−5
0.7	1.5882e−6	3.2449e−5	2.2463e−5	3.0098e−5	1.7279e−6	3.4518e−5	2.3482e−5	3.1847e−5
0.8	1.0355e−6	2.1288e−5	1.4805e−5	1.9774e−5	1.1752e−6	2.3357e−5	1.5824e−5	2.1523e−5
0.9	4.8280e−7	1.0126e−5	7.1480e−6	9.4499e−6	6.2258e−7	1.2195e−5	8.1671e−5	1.1198e−5
1	6.9888e−8	1.0345e−6	5.0957e−7	8.7434e−7	6.9888e−8	1.0345e−6	5.0957e−7	8.7434e−7