In this paper,the homtopy perturbation method (HPM) was applied to obtain the approximate solutions of the fractional order integro-differential equations . The fractional order derivatives and fractional order integral are described in the Caputo and Riemann-Liouville sense respectively. We can easily obtain the solution from convergent the infinite series of HPM . A theorem for convergence and error estimates of the HPM for solving fractional order integro-differential equations was given. Moreover, numerical results show that our theoretical analysis are accurate and the HPM can be considered as a powerful method for solving fractional order integro-diffrential equations.

Euphemisms are advantageous in people’s social life by turning sensitive into a more acceptable ones so that resentful feelings and embarrassment can be avoided. This study investigates the ability of Iraqi English learners in using euphemistic expressions, meanwhile, raising their awareness and the faculty members in English teaching faculties regarding the relevance of discussing the topics that demand euphemisation. This study comprised three stages: initial test, explicit instruction with activities, and a final test for the students’ development in this domain. A test has been distributed among 50 respondents, who are at the fourth year of their undergraduate study at the University of Babylon/ College of Basic Education. The lo

A new technique to study the telegraph equation, mostly familiar as damped wave equation is introduced in this study. This phenomenon is mostly rising in electromagnetic influences and production of electric signals.  The proposed technique called as He-Fractional Laplace technique with help of Homotopy perturbation is utilized to found the exact and nearly approximated results of differential model and numerical example of telegraph equation or damped wave equation in this article. The most unique term of this technique is that, there is no worry to find the next iteration by integration in recurrence relation. As fractional Laplace integral transformation has some limitations in non-linear terms, to get the result of nonlinear term in

All over the world and in different societies and cultures , people are always looking for different ways of favourable , gentle smooth and soft communication .The 'powerful linguistic devices ' that are embedded in the daily English language is called "euphemism". It plays an important and vital role in daily communication. It represents a significant part of English . It is used to express any aspect of everyday realities such as the business world , mass media , etc. The comprehension of such realities can not be verified unless a reasonable command of euphemism is achieved.
Euphemism is defined according to various perspectives and views. It is " that figure of speech which consists in the substitution of a word or expression of c

This paper presents new modification of HPM to solve system of 3 rd order PDEs with initial condition, for finding suitable accurate solutions in a wider domain.

The flexible joint robot (FJR) typically experiences parametric variations, nonlinearities, underactuation, noise propagation, and external disturbances which seriously degrade the FJR tracking. This article proposes an adaptive integral sliding mode controller (AISMC) based on a singular perturbation method and two state observers for the FJR to achieve high performance. First, the underactuated FJR is modeled into two simple second-order fast and slow subsystems by using Olfati transformation and singular perturbation method, which handles underactuation while reducing noise amplification. Then, the AISMC is proposed to effectively accomplish the desired tracking performance, in which the integral sliding surface is designed to reduce cha

        Genotypic detection of some Antibiotics Resistant genes by using polymerase chain reaction (PCR). (20) Isolates of Acinetobacter baumannii that showed resistance to (Ceftaxim, Cefotaxim, Cefepim and Imipenim) were selected. The results showed that 20 isolates of A. baumannii possess the bla-OXA23 like gene, and that all isolates possess this gene with a percentage (100%). With molecular weight 605 bp. The current study showed that A. baumannii isolates carry 100% bla-OXA51like gene when studied with (20) isolates that are resistant to antibiotics (Imipenim Ceftazidime, Cifepime, Cifexime) that belong to this group of β-lactame with molecular weight 382 bp.   Gene exp