On Solutions to Fractional Iterative Differential Equations with Caputo Derivative

Table 1

Comparison of the rate of convergence of (15a)–(15c) for , and .

Iterations	PIS	Proposed iterative scheme (PrIS)
		1	3.0000000000	3.0000000000	3.0000000000	3.0000000000
2	2.5000000000	0.7369031021	0.5014326774	0.3740602186
3	1.8125000000	0.2682872628	0.2680901232	0.2680300260
4	1.0712890625	0.2679493441	0.2679492744	0.2679492485
5	0.5369150639	0.2679491925	0.2679491925	0.2679491925
6	0.3220694464	0.2679491924	0.2679491924	0.2679491924
7	0.2759321821	⋮	⋮	⋮
8	0.2690346423	⋮	⋮	⋮
9	0.2680949097	⋮	⋮	⋮
10	0.2679687201	⋮	⋮	⋮
11	0.2679518087	⋮	⋮	⋮
12	0.2679495430	0.2679491924	0.2679491924	0.2679491924
13	0.2679492394	⋮	⋮	⋮
14	0.2679491987	⋮	⋮	⋮
15	0.2679491933	⋮	⋮	⋮
16	0.2679491925	⋮	⋮	⋮
17	0.2679491924	⋮	⋮	⋮
⋮	⋮	⋮	⋮	⋮
21	0.2679491924	0.2679491924	0.2679491924	0.2679491924