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

Table 2

The result of the proposed method for Example 27 with 𝑣=𝛼=0.75, 𝑚=7, 𝑘₁=0.012, and 𝑘₂=0.001.

𝑟	𝐶𝐵71	𝐶𝐵1(1;𝑟)	Error	𝐶𝐵72	𝐶𝐵2(1;𝑟)	Error
0	0.512415005475	0.512415004378	0.109731956854𝑒−8	1.511327692084	1.511327690987	0.109732001263𝑒−8
0.1	0.562360639806	0.562360638709	0.109731967956𝑒−8	1.461382057754	1.461382056656	0.109731956854𝑒−8
0.2	0.612306274136	0.612306273039	0.109731967956𝑒−8	1.411436423423	1.411436422326	0.109731956854𝑒−8
0.3	0.662251908467	0.662251907369	0.109731967956𝑒−8	1.361490789093	1.361490787995	0.109731979058𝑒−8
0.4	0.712197542797	0.712197541700	0.109731967956𝑒−8	1.311545154762	1.311545153665	0.109731979058𝑒−8
0.5	0.762143177128	0.762143176030	0.109731979058𝑒−8	1.261599520432	1.261599519335	0.109731956854𝑒−8
0.6	0.812088811458	0.812088810361	0.109731990161𝑒−8	1.211653886101	1.211653885004	0.109731956854𝑒−8
0.7	0.862034445788	0.862034444691	0.109731956854𝑒−8	1.161708251771	1.161708250674	0.109731979058𝑒−8
0.8	0.911980080119	0.911980079022	0.109731967956𝑒−8	1.111762617441	1.111762616343	0.109731979058𝑒−8
0.9	0.961925714449	0.961925713352	0.109731967956𝑒−8	1.061816983110	1.061816982013	0.109731979058𝑒−8
1	1.011871348780	1.011871347682	0.109731934649𝑒−8	1.011871348780	1.011871347682	0.109731934649𝑒−8