Numerical Solution of the Fractional Partial Differential Equations by the Two-Dimensional Fractional-Order Legendre Functions

Table 1

Errors of Example 24 for different values of 𝛼 and 𝛽 with 𝑀=𝑀^′=4.

Error	𝛼=𝛽=1.25	𝛼=𝛽=1.50	𝛼=𝛽=1.75	𝛼=𝛽=2.00
𝐿2	5.6437𝑒−015	1.2075𝑒−015	3.4584𝑒−015	8.9917𝑒−016
𝐿∞	4.4409𝑒−016	1.1102𝑒−016	3.3307𝑒−016	1.1102𝑒−016