Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 Numerical results of Σ for \(t \in [0, \pi ]\) in Example 2

From: Using the Hilfer–Katugampola fractional derivative in initial-value Mathieu fractional differential equations with application to a particle in the plane

t	Σ
0.00000	−2.8519E + 00
0.10472	−1.0688E + 00
0.20944	−8.3886E − 01
0.31416	−6.9083E − 01
0.41888	−5.7925E − 01
0.52360	−4.8875E − 01
0.62832	−4.1213E − 01
0.73304	−3.4542E − 01
0.83776	−2.8616E − 01
0.94248	−2.3273E − 01
1.04720	−1.8399E − 01
1.15192	−1.3912E − 01
1.25664	−9.7490E − 02
1.36136	−5.8640E − 02
1.46608	−2.2180E − 02
1.57080	1.2190E − 02
1.67552	4.4720E − 02
1.78024	7.5620E − 02
1.88496	1.0505E − 01
1.98968	1.3316E − 01
2.09440	1.6007E − 01
2.19911	1.8590E − 01
2.30383	2.1073E − 01
2.40855	2.3465E − 01
2.51327	2.5772E − 01
2.61799	2.8002E − 01
2.72271	3.0159E − 01
2.82743	3.2248E − 01
2.93215	3.4275E − 01
3.03687	3.6243E − 01

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