The aim of the present paper is to establish the existence, uniqueness and boundedness of solutions to the nonlocal fractional integrodifferential equations in Banach spaces. Mathematics Subject Classification: 26A33, 34K12, 34A40, 35B60, 45N05, 45G15

In this paper, we investigate the existence and uniqueness of fuzzy solutions for semilinear fuzzy integrodifferential equations using integral contractor. The notion of ’bounded integral contractor’, introduced by Altman [1], is weaker than Lipschitz condition.

There are given conditions for the solvability of the singular initial value problem for Fredholm integrodifferential equations. The continuous dependence of solutions on a parameter is investigated as well.

In this paper, we provide results about the long time behavior of integrodifferential equations appearing in the study of populations structured with respect to a quantitative (continuous) trait, which are submitted to selection (or competition).

In this paper, a nonconforming mixed finite element method is studied for semilinear pseudo-hyperbolic partial integrodifferential equations. By use of the interpolation technique instead of the generalized elliptic projection, the optimal error estimates of the corresponding unknown function are given. Keywords—Pseudo-hyperbolic partial integro-differential equations; Nonconforming mixed eleme...

In this paper, we study the existence of asymptotically almost periodic solutions to some classes of second-order partial functionaldifferential equations with unbounded delay. Our results are, subsequently, applied to studying the existence of asymptotically almost periodic solutions to some integrodifferential equations, which arise in the theory of heat conduction within fading memory materi...

In this paper, the variational iteration method for solving nth-order fuzzy integro-differential equations (nth-FIDE) is proposed. In fact the problem is changed to the system of ordinary fuzzy integrodifferential equations and then fuzzy solution of nth-FIDE is obtained. Some examples show the efficiency of the proposed method.

4. Stable fuzzy control of multi-input and multi-output (mimo) perturbed linear systems 9. Existence and uniqueness of fuzzy solution for semilinear fuzzy integrodifferential equations with nonlocal conditions (2004), P. Balasubramaniam

In this paper, we will study the existence of periodic solutions for the delay evolution integrodifferential equations in a general Banach space with unbounded operator. @ 2004 Elsevier Ltd. All rights reserved.