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

Table 1

Some numerical values of the solution 𝑥₃(𝑡) of (53) with 𝑁=3, very close to the values of the solution 𝑥(𝑡)=𝑡 of the fractional differential equation of variable order (49).

𝑡	0.2	0.4	0.6	0.8	1
𝑥3(𝑡)	0.20000002056	0.40000004031	0.60000009441	0.80000002622	1.0000001591