Solving Linear and Nonlinear Fractional Differential Equations Using Spline Functions

Table 4

Solution of Example 3.3 using 𝛼=0.75, 𝛼=0.9, and 𝛼=1.

𝑡	𝛼=0.75	𝛼=0.9	𝛼=1
	Appr. solution	Appr. solution	Appr. solution	Absolute error
0.0	0.00000	0.00000	0.00000	0.0
0.1	0.14054	0.10265	0.08383	9.3660×10^−5
0.2	0.21290	0.17219	0.14513	1.1397×10^−4
0.3	0.25536	0.22294	0.19272	1.1162×10^−4
0.4	0.28215	0.26188	0.23122	1.0297×10^−4
0.5	0.29977	0.29284	0.26329	9.3223×10^−5
0.6	0.31165	0.31809	0.29059	8.4033×10^−5
0.7	0.31980	0.33910	0.31425	7.5850×10^−5
0.8	0.32544	0.35683	0.33504	6.8710×10^−5
0.9	0.32939	0.37199	0.35352	6.2520×10^−5
1.0	0.33215	0.38508	0.37010	5.7152×10^−5