Solving Linear and Nonlinear Fractional Differential Equations Using Spline Functions

Table 3

Solution of Example 3.2 using 𝛼=1.3, 𝛼=1.1, and 𝛼=1.

	𝛼=1.3	𝛼=1.1	𝛼=1
𝑥	Appr. solution	Appr. solution	Appr. solution	Absolute error
0.0	0.00000	0.00000	0.00000	0.0
0.5	0.32538	0.41045	0.45833	3.7838×10^−3
1.0	0.52950	0.67714	0.76095	6.4768×10^−4
1.5	0.63709	0.81882	0.90603	8.7977×10^−4
2.0	0.68987	0.89089	0.96437	3.3837×10^−4
2.5	0.71508	0.92755	0.98660	1.5476×10^−5
3.0	0.72699	0.94629	0.99497	8.4583×10^−5
3.5	0.73259	0.95590	0.99811	6.4645×10^−5
4.0	0.73522	0.96084	0.99929	3.6906×10^−5
4.5	0.73646	0.96339	0.99973	1.8574×10^−5
5.0	0.73703	0.96470	0.99990	8.7168×10^−6