The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations with the Riemann-Liouville Derivative

Table 1

Numerical results for 𝛼=1 and 𝑚=10 in Example 1 with comparison to exact solution and [14].

𝑡	Exact	Present method; 𝑚=10	Reference [14]
0.1	0.099668	0.099668	0.099668
0.2	0.197375	0.197375	0.197375
0.3	0.291313	0.291313	0.291313
0.4	0.379949	0.379949	0.379944
0.5	0.462117	0.462117	0.462078
0.6	0.537050	0.537050	0.536857
0.7	0.604368	0.604368	0.603631
0.8	0.664037	0.664037	0.661706
0.9	0.716298	0.716298	0.709919
1	0.761594	0.761594	0.746032