Table 3 Numerical results for Example 1, where \(p_{1}=2, p_{2}=1\) and boundary points \(\underline{\vartheta }_{0}(y,\xi ),\underline{\vartheta }_{1}(y,\xi ),\overline{\vartheta }_{0}(y,\xi ),\overline{\vartheta }_{1}(y,\xi )\) at different values of uncertainty \(\xi\) and fractional values \(\eta =1/5\), \(\eta =3/4\).

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

\(\xi\)

\({\underline{p}}_{3}\)

\(\eta =1/5\)

\(\eta =3/4\)

\(\underline{\vartheta }_0(y,\xi )\)

\(\underline{\vartheta }_1(y,\xi )\)

\(\underline{\vartheta }_0(y,\xi )\)

\(\underline{\vartheta }_1(y,\xi )\)

0.2

-0.8

0.387

-1.575

0.353

-1.507

0.5

-0.5

0.242

-0.985

0.221

-0.942

0.7

-0.3

0.145

-0.590

0.132

-0.565

\(\xi\)

\({\overline{p}}_{3}\)

\(\overline{\vartheta }_0(y,\xi )\)

\(\overline{\vartheta }_1(y,\xi )\)

\(\overline{\vartheta }_0(y,\xi )\)

\(\overline{\vartheta }_1(y,\xi )\)

0.2

0.8

-0.387

1.575

-0.353

1.507

0.5

0.5

-0.242

0.985

-0.221

0.942

0.7

0.7

-0.145

0.590

-0.132

0.565