The Analysis of Fractional-Order System Delay Differential Equations Using a Numerical Method

Table 1

Comparison of the exact and MLWM solution for example 1 at m = 9.

	Exact	Exact	MLWM solution	MLWM solution
0	1.000000000000000	0.000000000000000	1.000000000000000	0.000000000000000
0.1	0.900316999845194	0.998334166468281	0.900316999845194	0.998334166468281
0.2	0.802410647342520	0.198669330795061	0.802410647342527	0.198669330795061
0.3	0.707730678026351	0.295520206661339	0.707730678025662	0.295520206661339
0.4	0.617405647901646	0.389418342308650	0.617405647901653	0.389418342308637
0.5	0.532280730215671	0.479425538604203	0.532280730215273	0.479425538604203
0.6	0.452953789145250	.5646424733950353	0.452953789145497	.5646424733947035
0.7	0.379809389925154	0.644217687237691	0.37980938992536	0.644217687236876
0.8	0.313050504004480	0.717356090899522	0.313050504004346	0.717356090898501
0.9	0.252727753291169	0.783326909627483	0.252727753291868	0.783326909628249
1.0	0.198766110346413	0.841470984807896	0.198766110346480	0.841470984813237