Global solutions for nonlinear fuzzy fractional integral and integrodifferential equations

This paper is devoted to considering the existence and uniqueness results for fuzzy fractional integral equations employing the method of upper and lower solutions. Moreover, the approach is followed to prove the existence of solutions for the fuzzy initial value problem of fractional integrodifferential equations involving Riemann–Liouville differential operators. The method is illustrated by two examples.

► The existence and uniqueness results are investigated for the nonlinear fuzzy fractional integral equations. ► The existence theorems are proved for the nonlinear fuzzy fractional integrodifferential equations. ► Our method is based on the monotone iterative technique, combined with the method of upper and lower solutions. ► The technique is applied for some examples.