An Expansion Formula with Higher-Order Derivatives for Fractional Operators of Variable Order

Table 2

Some numerical values of the solution 𝑥₂(𝑡) of (67)-(68) with 𝑁=2, close to the values of the global minimizer 𝑥(𝑡)=𝑡 of the fractional variational problem of variable order (54)-(55).

𝑡	0.2	0.4	0.6	0.8	1
𝑥2(𝑡)	0.1998346692	0.3999020706	0.5999392936	0.7999708526	1.0000000000