Table 2 Numerical results for Example 1, \(\underline{\vartheta }(y,\xi )\) & \(\overline{\vartheta }(y,\xi )\) 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

-0.1683   0.1683

-0.1262    0.1262

-0.0841    0.0841

-0.0421    0.0421

0.4

-0.5315   0.5315

-0.3986    0.3986

-0.2658    0.2658

-0.1329    0.1329

0.6

-0.8626   0.8626

-0.6469    0.6469

-0.4313    0.4313

-0.2156    0.2156

0.8

-1.1841   1.1841

-0.8881    0.8881

-0.592    0.592

-0.296    0.296