Application of Fuzzy Fractional Kinetic Equations to Modelling of the Acid Hydrolysis Reaction

Table 3

The result of the proposed method for Example 27 with 𝑣=𝛼=0.85, 𝑚=9, 𝑘₁=0.014, and 𝑘₂=0.001.

𝑟	𝐶𝐵91	𝐶𝐵1(1;𝑟)	Error	𝐶𝐵92	𝐶𝐵2(1;𝑟)	Error
0	0.514156300808	0.514156300733	0.753808127029𝑒−10	1.513099430793	1.513099430717	0.753803686137𝑒−10
0.1	0.564103457307	0.564103457232	0.753809237252𝑒−10	1.463152274293	1.463152274218	0.753808127029𝑒−10
0.2	0.614050613806	0.614050613731	0.753809237252𝑒−10	1.413205117794	1.413205117719	0.753805906583𝑒−10
0.3	0.663997770306	0.663997770230	0.753807016806𝑒−10	1.363257961295	1.363257961220	0.753805906583𝑒−10
0.4	0.713944926805	0.713944926730	0.753809237252𝑒−10	1.313310804796	1.313310804720	0.753805906583𝑒−10
0.5	0.763892083304	0.763892083229	0.753807016806𝑒−10	1.263363648296	1.263363648221	0.753808127029𝑒−10
0.6	0.813839239803	0.813839239728	0.753808127029𝑒−10	1.213416491797	1.213416491722	0.753805906583𝑒−10
0.7	0.863786396303	0.863786396227	0.753809237252𝑒−10	1.163469335298	1.163469335223	0.753805906583𝑒−10
0.8	0.913733552802	0.913733552726	0.753808127029𝑒−10	1.113522178799	1.113522178723	0.753805906583𝑒−10
0.9	0.963680709301	0.963680709226	0.753805906583𝑒−10	1.063575022300	1.063575022224	0.753810347475𝑒−10
1	1.013627865800	1.013627865725	0.753808127029𝑒−10	1.013627865800	1.013627865725	0.753808127029𝑒−10