New Laguerre Filter Approximators to the Grünwald-Letnikov Fractional Difference

Table 1

Approximation errors for FLD with various values of 𝑀 and 𝛼.

	𝑀=7	𝑀=17	𝑀=27
𝛼=0.1	6.3485𝑒−5	1.2127𝑒−5	4.8239𝑒−6
𝛼=0.5	5.4513𝑒−5	3.4898𝑒−6	7.4791𝑒−7
𝛼=0.9	1.2874𝑒−6	2.7372𝑒−8	3.1065𝑒−9
𝛼=0.98	5.7516𝑒−8	9.8064𝑒−10	9.6533𝑒−11
𝛼=1.5	3.2417𝑒−6	9.9157𝑒−9	4.1481𝑒−10
𝛼=1.8	7.1224𝑒−7	9.6608𝑒−10	2.5258𝑒−11