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

Table 6

The result of the proposed method for Example 63 with 𝛼=0.95 and 𝑚=12.

𝑟	𝑦12^𝑟	𝑌(𝑟)	Error	𝑦12^𝑟	𝑌(𝑟)	Error
0	−0.243121	−0.243123	1.232190𝑒−6	0.128454	0.128450	3.891957𝑒−6
0.1	−0.224543	−0.224544	1.365176𝑒−6	0.109875	0.109871	3.758969𝑒−6
0.2	−0.205964	−0.205965	1.498166𝑒−6	0.091296	0.091293	3.625981𝑒−6
0.3	−0.187385	−0.187387	1.631153𝑒−6	0.072717	0.072714	3.492989𝑒−6
0.4	−0.168806	−0.168808	1.764141𝑒−6	0.054139	0.054135	3.360001𝑒−6
0.5	−0.150227	−0.150229	1.897131𝑒−6	0.035560	0.035557	3.227013𝑒−6
0.6	−0.131648	−0.131651	2.030121𝑒−6	0.016981	0.016978	3.094025𝑒−6
0.7	−0.113070	−0.113072	2.163107𝑒−6	−0.001597	−0.001600	2.961033𝑒−6
0.8	−0.094491	−0.094493	2.296095𝑒−6	−0.020176	−0.020178	2.828050𝑒−6
0.9	−0.075912	−0.075914	2.429084𝑒−6	−0.038754	−0.038757	2.695061𝑒−6
1	−0.057333	−0.057336	2.562075𝑒−6	−0.057333	−0.057336	2.562075𝑒−6