On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative

Table 1

Approximate solutions for (4.1).

𝑡	Ref. [24]𝛼=0.5	𝑦3(𝑥)𝛼=0.5	[24]𝛼=0.75	𝑦3(𝑥)𝛼=0.75	[24]𝛼=1	𝑦3(𝑥)𝛼=1	𝑦(𝑥)exact
0	0	0	0	0	0	0	0
0.1	0.273875	0.086513	0.184795	0.190102	0.099668	0.099667	0.099667
0.2	0.454125	0.161584	0.313795	0.310033	0.197375	0.197375	0.197375
0.3	0.573932	0.238256	0.414562	0.405062	0.291312	0.291320	0.291312
0.4	0.644422	0.321523	0.492889	0.483479	0.379944	0.380005	0.379948
0.5	0.674137	0.413682	0.462117	0.550470	0.462078	0.462375	0.462117
0.6	0.671987	0.515445	0.597393	0.610344	0.536857	0.537923	0.537049
0.7	0.648003	0.626403	0.631772	0.666961	0.603631	0.606768	0.604367
0.8	0.613306	0.745278	0.660412	0.723760	0.661706	0.669695	0.664036
0.9	0.579641	0.870074	0.687960	0.783638	0.709919	0.728139	0.716297
1.0	0.558557	0.998176	0.718260	0.848783	0.746032	0.784126	0.761594