For a certain class of functional dierential equations with perturbations conditions are given such that there exist solutions which converge to solutions of the equations without perturbation. Let ∆ x(t) = x(t) − x(t − σ), σ > 0 being a constant, and consider the neutral functional diierential equation (A) d n dt n ∆ m x(t) + f ? t, x ? g(t) is the m-th iterate of ∆ , i.e. ∆ m x(t) = m X i=0 (...

In this paper, the dierential transform method (DTM) is applied to the Fisherequation. This method can be used to obtain the exact solutions of Fisherequation. Finally, we give some examples to illustrate the suciency of themethod for solving such nonlinear partial dierential equations. These resultsshow that this technique is easy to apply.

The sinc method is known as an ecient numerical method for solving ordinary or par-tial dierential equations but the system of dierential equations has not been solved by this method which is the focus of this paper. We have shown that the proposed version of sinc is able to solve sti system while Runge-kutta method can not able to solve. Moreover, Due to the great attention to mathematical mod...

A theoretical framework for proposed \weak Tau" type of approximation schemes is considered in the context of least-squares parameter estimation problems for partial dierential equations. A convergence theory which includes parameter estimate convergence and method stability is developed. Numerical results demonstrating the possible advantages of these ideas are also presented.

This paper presents the comparison of implicit scheme and modied for solving parabolic partial dierential equations, is compared with using its stability, local truncation error, derivation numerical examples. Following this, it was discovered that can be used as an alternative to problems on equations.

The problem of nding adapted solutions to systems of coupled linear forward-backward stochastic dierential equations (FBSDEs, for short) is investigated. A necessary condition of solvability leads to a reduction of general linear FBSDEs to a special one. By some ideas from controllability in control theory, using some functional analysis, we obtain a necessary and sucient condition for the solv...

The topic of this paper is formal solutions of linear dierential equations with formal power series coeecients. The method proposed for computing these solutions is based on factorization of diierential operators. The notion of exponential parts is introduced to give a description of factorization properties and to characterize the formal solutions. The algorithms will be described and their im...

In this article, a mathematical model describing the growth orterminating myelogenous leukemia blood cancer's cells against naive T-celland eective T-cell population of body, presented by fractional dierentialequations. We use this model to analyze the stability of the dynamics, whichoccur in the local interaction of eector-immune cell and tumor cells. Wewill also investigate the optimal contro...