We introduce a new approach to the asymptotic iteration method (AIM) by means of which we establish standard AIM connection with continued fractions technique, and develop novel termination condition in terms approximants. With help this alternative certain properties continuous fractions, derive closed formula for function α $$ \alpha technique an infinite series. Furthermore, show that such s...

objective: the objective of this study is to evaluate verbal and mathematical skills among young children. method: the population of this study is composed of 5 and 6 years old children from nursary schools of the welfare organization in east of tehran. an 10 test on 218 children, was administrated and 120 individuals were selected as the subjects for the present study. the 10 of these subjects...

in this paper, a new fractional sub-equation method is proposed for finding exact solutions of fractional partial differential equations (fpdes) in the sense of modified riemann-liouville derivative. with the aid of symbolic computation, we choose the space-time fractional zakharov-kuznetsov-benjamin-bona-mahony (zkbbm) equation in mathematical physics with a source to illustrate the validity a...

In this paper, the mathematical model of HIV infection for CD8+ T-cells is illustrated. The homotopy analysis method and the Laplace transformations are combined for solving this model. Also, the convergence theorem is proved to demonstrate the abilities of presented method for solving non-linear mathematical models. The numerical results for $N=5, 10$ are presented. Several $hbar$-c...

temperature profile determination in soils under adverse conditions of variable heat capacity and conductivity is a rather hard task. the heat capacity and conductivity are moisture dependent and both vary with the soil density. moisture movement on the other hand is temperature dependent and so the two interact. no single mathematical formulae as yet exists for anticipating the temperature dis...