This paper investigates existence and uniqueness results for the first order fuzzy integro-differential equations. Then numerical results and error bound based on the left rectangular quadrature rule, trapezoidal rule and a hybrid of them are obtained. Finally an example is given to illustrate the performance of the methods.

The boundary value problems of the third-order ordinary differential equation have many practical application backgrounds and their some special cases been studied by authors. However, few scholars complete equations u′′′(t) = f (t,u(t),u′(t),u′′(t)). In this paper, we discuss existence uniqueness solutions positive fully on [0,1] with condition u(0) u′(1) u′′(1) 0. Under inequality conditions ...