Theories and applications of the inverse fractional natural transform method

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 The results obtained for Example 3.3 for different values of α

x	t	α = 0.25	α = 0.5	α = 0.75	α = 1
x	t	α = 0.25	α = 0.5	α = 0.75	Numerical	Exact
−2	0.02	−1.67532	−1.1864	−1.06139	−1.0206	−1.0206
	0.04	−1.91317	−1.28553	−1.10818	−1.04242	−1.04242
	0.06	−2.1113	−1.37373	−1.15302	−1.06547	−1.06547
	0.08	−2.29181	−1.45781	−1.19766	−1.08977	−1.08977
0	0.02	1.66204	1.18214	1.06007	1.0202	1.0202
	0.04	1.8816	1.2735	1.10373	1.04082	1.04082
	0.06	2.05888	1.35162	1.14398	1.06187	1.06187
	0.08	2.21671	1.42376	1.1827	1.08337	1.08337
2	0.02	4.9994	3.55068	3.18154	3.06101	3.06101
	0.04	5.67637	3.83253	3.31564	3.12406	3.12406
	0.06	6.22907	4.07698	3.44098	3.18922	3.18922
	0.08	6.72523	4.30534	3.56306	3.25652	3.25652