In this paper, we proposed a method for computing the approximate solution for impulsive fuzzy differential equations by utilizing the existing results in impulsive differential equations and fuzzy differential equations. The numerical solutions are investigated since many impulsive differential equations cannot be solved analytically or their solving is complicated. The solutions are then comp...

The study of fractional differential equations has recently gained much attention due to extensive applications of these equations in the mathematical modelling of physical, engineering and biological phenomena. Examples and details concerning the development of the theory, methods and applications of fractional calculus can be found in the books [9], [11] and papers [1], [3], [4], [6], [7]. Fo...

Substituting the usual growth condition by an assumption that a specific initial value problem has a maximal solution, we obtain existence results for functional nonlinear integral equations with variable delay. Application of the technique to initial value problems for differential equations as well as to integrodifferential equations are given.

The computation schemes of reduction method for approximate solution of systems of singular integrodifferential equations have been elaborated. The equations are defined on an arbitrary smooth closed contour of complex plane. Estimates of the rate of convergence are obtained in generalized Hölder spaces. Key–Words:Reduction Method, Generalized Holder Spaces, systems of singular integro-differen...

Keywords: Fractional differential equations Impulsive fractional differential equations Impulse General solution Existence a b s t r a c t In this paper, for impulsive differential equations with fractional-order q 2 ð0; 1Þ, we show that the formula of solutions in cited papers are incorrect. Secondly, we find out a formula of the general solution for impulsive Cauchy problem with Caputo fracti...

In this paper multistep methods for systems of coupled second order Volterra integrodifferential equations are proposed. Stability and convergence properties are studied and an error bound for the discretization error is given.

This paper is concerned with delay integrodifferential equations of Sobolev type with nonlocal conditions in Banach spaces. Using the theory of semigroups and the method of fixed points, existence results are obtained for mild solutions.

This paper investigates the fixed points for self-maps of a closed set in a space of abstract continuous functions. Our main results essentially extend the Banach contracting mapping principle. An application to integrodifferential equations is given.

We study stochastic convolutions providing by fundamental solutions of a class of integrodifferential equations which interpolate the heat and the wave equations. We give sufficient condition for the existence of function–valued convolutions in terms of the covariance kernel of a noise given by spatially homogeneous Wiener process.