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

Table 4

The result of the proposed method for Example 60 with 𝛼=0.95 and 𝑚=3.

𝑟	𝑦^𝑟3	𝑌(𝑟)	Error	𝑦^𝑟3	𝑌(𝑟)	Error
0	−0.371581	−0.371573	7.857218𝑒−5	0.371581	0.371573	7.857218𝑒−5
0.1	−0.334423	−0.334416	7.071496𝑒−5	0.334423	0.334416	7.071496𝑒−5
0.2	−0.297265	−0.297258	6.285775𝑒−5	0.297265	0.297258	6.285775𝑒−5
0.3	−0.260107	−0.260101	5.500053𝑒−5	0.260107	0.260101	5.500053𝑒−5
0.4	−0.222948	−0.222944	4.714331𝑒−5	0.222948	0.222944	4.714331𝑒−5
0.5	−0.185790	−0.185786	3.928609𝑒−5	0.185790	0.185786	3.928609𝑒−5
0.6	−0.148632	−0.148629	3.142887𝑒−5	0.148632	0.148629	3.142887𝑒−5
0.7	−0.111474	−0.111472	2.357165𝑒−5	0.111474	0.111472	2.357165𝑒−5
0.8	−0.074316	−0.074314	1.571443𝑒−6	0.074316	0.074314	1.571443𝑒−6
0.9	−0.037158	−0.037157	7.857218𝑒−6	0.037158	0.037157	7.857218𝑒−6
1	0.000000	0.000000	9.520160𝑒−14	0.000000	0.000000	9.520160𝑒−14