Solving Fuzzy Fractional Differential Equations Using Zadeh's Extension Principle

Table 1

Numerical solutions of Example 1 with different values of 𝛽.

𝛼	𝛽=0.6		𝛽=0.8		𝛽=1
	𝑥^𝛽1(𝑡)	𝑥^𝛽2(𝑡)	𝑥^𝛽1(𝑡)	𝑥^𝛽2(𝑡)	𝑥^𝛽1(𝑡)	𝑥^𝛽2(𝑡)
0.0	26063.941926	78191.825779	98.369851	295.109553	7.244646	21.733938
0.1	28670.336119	75585.431586	108.206836	285.272568	7.969110	21.009473
0.2	31276.730311	72979.037394	118.043821	275.435583	8.693575	20.285009
0.3	33883.124504	70372.643201	127.880806	265.598598	9.418039	19.560544
0.4	36489.518697	67766.249008	137.717791	255.761613	10.142504	18.836079
0.5	39095.912889	65159.854816	147.554776	245.924627	10.866969	18.111615
0.6	41702.307082	62553.460623	157.391761	236.087642	11.591433	17.387150
0.7	44308.701274	59947.066430	167.228746	226.250657	12.315898	16.662686
0.8	46915.095467	57340.672238	177.065732	216.413672	13.040363	15.938221
0.9	49521.489660	54734.278045	186.902717	206.576687	13.764827	15.213756
1.0	52127.883852	52127.883852	196.739702	196.739702	14.489292	14.489292