An Operational Matrix Based on Legendre Polynomials for Solving Fuzzy Fractional-Order Differential Equations

Table 2

The result of the proposed method for Case 2 of Example 52 with 𝛼=0.75 and 𝑚=9.

𝑟	𝑦^𝑟5	𝑌(𝑟)	Error	𝑦^𝑟5	𝑌(𝑟)	Error
0	0.1962	0.1966	3.149𝑒−4	0.5887	0.5897	9.446𝑒−4
0.1	0.2159	0.2162	3.464𝑒−4	0.5691	0.5700	9.131𝑒−4
0.2	0.2355	0.2359	3.778𝑒−4	0.5495	0.5504	8.816𝑒−4
0.3	0.2551	0.2555	4.093𝑒−4	0.5298	0.5307	8.501𝑒−4
0.4	0.2747	0.2752	4.408𝑒−4	0.5102	0.5110	8.186𝑒−4
0.5	0.2944	0.2948	4.723𝑒−4	0.4906	0.4914	7.872𝑒−4
0.6	0.3140	0.3145	5.038𝑒−4	0.4710	0.4717	7.557𝑒−4
0.7	0.3336	0.3341	5.353𝑒−4	0.4514	0.4521	7.242𝑒−4
0.8	0.3532	0.3538	5.668𝑒−4	0.4317	0.4324	6.927𝑒−4
0.9	0.3729	0.3735	5.982𝑒−4	0.4121	0.4128	6.612𝑒−4
1	0.3925	0.3931	6.297𝑒−4	0.3925	0.3931	6.297𝑒−4