Table 5 Numerical results for Example 2, \(\underline{\vartheta }(y,\xi )\) & \(\overline{\vartheta }(y,\xi )\) at different values of uncertainty \(\xi\) and fractional value \(\eta =3/4\).

From: Existence and uniqueness of solutions for fuzzy fractional integro-differential equations with boundary conditions

\(\eta =3/4\)

y

\(\xi =0.2\)

\(\xi =0.4\)

\(\xi =0.6\)

\(\xi =0.8\)

\(\underline{\vartheta }(y,\xi )\)   \(\overline{\vartheta }(y,\xi )\)

\(\underline{\vartheta }(y,\xi )\)    \(\overline{\vartheta }(y,\xi )\)

\(\underline{\vartheta }(y,\xi )\)    \(\overline{\vartheta }(y,\xi )\)

\(\underline{\vartheta }(y,\xi )\)    \(\overline{\vartheta }(y,\xi )\)

0.2

-0.1008   0.1008

-0.0756    0.0756

-0.0504    0.0504

-0.0252    0.0252

0.4

-0.3486   0.3486

-0.2615    0.2615

-0.1743    0.1743

-0.0872    0.0872

0.6

-0.6076   0.6076

-0.4557    0.4557

-0.3038    0.3038

-0.1519    0.1519

0.8

-0.8836   0.8836

-0.6627    0.6627

-0.4418    0.4418

-0.2209   0.2209