**5. Conclusion**

**Exact solutions Approx. solutions Absolute errors** 0 [-0.8102, 1.4429] [-0.8099, 1.4438] [2.6067×10-4, 7.7596×10-4] 0.2 [-0.5829, 1.2225] [-0.5827, 1.2232] [3.0938×10-4, 7.2979×10-4] 0.4 [-0.3538, 1.0026] [-0.3534, 1.0032] [3.6373×10-4, 6.8548×10-4] 0.6 [-0.1226, 0.7831] [-0.1222, 0.7838] [4.2389×10-4, 6.4299×10-4] 0.8 [0.1106, 0.5642] [0.1111, 0.5648] [4.9030×10-4, 6.0228×10-4] 1 [0.3458, 0.3458] [0.3464, 0.3464] [5.6330×10-4, 5.6330×10-4]

182 Numerical Simulation - From Brain Imaging to Turbulent Flows

**Table 6.** Numerical results and absolute errors of (*t*) X3 for Example 2 at *ω*<sup>1</sup> <sup>=</sup>*ω*<sup>2</sup> <sup>=</sup>*ω*<sup>3</sup> =1, *<sup>h</sup>* =0.001 and *<sup>t</sup>* =1.

**Table 7.** Approximations of , and (*t*) X3 of Example 2 for *ω*<sup>1</sup> =0.95, *ω*<sup>2</sup> =0.87 *<sup>ω</sup>*<sup>3</sup> =0.79, *<sup>h</sup>* =0.1 and

**Figure 3.** Bar plot of approximate solutions and absolute error versus *σ* of of Example 2 for

0 [2.2517, 3.3776] [5.9374, 12.7914] [16.8425, 57.0920] 0.2 [2.4018, 3.3025] [6.7016, 12.2538] [20.5781, 53.4113] 0.4 [2.5519, 3.2274] [7.5119, 11.7278] [24.7487, 49.8770] 0.6 [2.7020, 3.1524] [8.3682, 11.2134] [29.3793, 46.4859] 0.8 [2.8522, 3.0773] [9.2705, 10.7104] [34.4950, 43.2349] 1 [3.0023, 3.0023] [10.2189, 10.2189] [40.1209, 40.1209]

*t* =1.

*h* =0.1, *ω*<sup>1</sup> =*ω*<sup>2</sup> =*ω*<sup>3</sup> =1 and = 0.6.

In this chapter, system of fractional differential equations with fuzzy‐valued functions was constructed to study the system in imprecise environment. We assessed numerical interpre‐ tations of the system using Grünwald‐Letnikov's fractional derivative scheme, which has not been considered for fuzzy differential equations in literature hitherto. In addition, we illus‐ trated the stability of the scheme for the system of fuzzy fractional differential equations. Furthermore, we conducted experiment on some nonlinear fuzzy fractional systems and successfully attained the approximated solutions. From the entire discussion and analysis, collectively, we come up with the following remarks:

