Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 5 A comparison between the proposed method of this paper and the method proposed in [29], (Method 1), with \(N=1,2,3\) for \(\alpha=0.5\)

From: A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel

t	y(t)	Method 1	\(y_{1}(t)\)	\(y_{2}(t)\)	\(y_{3}(t)\)
0.2	0.1336	0.0639	0.1447	0.1370	0.1342
0.4	0.2952	0.2469	0.3213	0.2961	0.2944
0.6	0.4748	0.4599	0.4979	0.4728	0.4745
0.8	0.6691	0.8189	0.6746	0.6669	0.6698
1.0	0.8761	1.0797	0.8512	0.8786	0.8755
\(E_{1}(N)\)	–	0.2036	0.0319	0.0046	0.0015

Back to article page