In this study, a brand-new double transform known as the double INEM transform is introduced. Combined with the definition and essential features of the proposed double transform, new findings on partial derivatives, Heaviside function, are also presented. Additionally, we solve several symmetric applications to show how effective the provided transform is at resolving partial differential equation.

Market share is a major indication of business success. Understanding the impact of numerous economic factors on market share is critical to a company’s success. In this study, we examine the market shares of two manufacturers in a duopoly economy and present an optimal pricing approach for increasing a company’s market share. We create two numerical models based on ordinary differential equations to investigate market success. The first model takes into account quantity demand and investment in R&D, whereas the second model investigates a more realistic relationship between quantity demand and pricing.

In the present paper, three reliable iterative methods are given and implemented to solve the 1D, 2D and 3D Fisher’s equation. Daftardar-Jafari method (DJM), Temimi-Ansari method (TAM) and Banach contraction method (BCM) are applied to get the exact and numerical solutions for Fisher's equations. The reliable iterative methods are characterized by many advantages, such as being free of derivatives, overcoming the difficulty arising when calculating the Adomian polynomial boundaries to deal with nonlinear terms in the Adomian decomposition method (ADM), does not request to calculate Lagrange multiplier as in the Variational iteration method (VIM) and there is no need to create a homotopy like in the Homotopy perturbation method (H

Background: The socioeconomic is important factor that effect in the severity and prevalence of most predominant and wide spread oral disease named dental caries, since this oral disease effects children, adolescents, adults and elderly peoples especially in developing countries as in Iraq.This survey was aimed to investigate the prevalence and severity of dental caries in relation to socioeconomic status. Materials and Methods: This oral health survey was conducted among primary and secondary school students aged 12 years old in Dewanyiah governorate in Iraq. The total sample composed of 804 (401 boys and 403 girls) selected randomly from different schools in Dewanyiah governorate. Diagnosis and recording of dental caries was assessed ac

Background: The menopause is physiological changes in women that give rise to adaptive changes at both systemic and oral level. During menopause, ovarian function declines and the production of sex steroid hormones reduces significantly affecting the oral tissues and periodontal structures leading to chronic inflammation of the gingiva, increased risk of tooth loss. Aim of study: The present study was designed to estimate the oral hygiene status in relation to salivary estradiol level among pre and post-menopausal women. Materials and Methods: Ninety women aged 48-52 years old, the control group consisted of 45 pre-menopausal women and the study group consisted of 45 post-menopause were examined for gingival index, plaque index and calcu

Background: The physiologic, biochemical and anatomic changes that occur during pregnancy are extensive and may be systemic or local. However, most of these changes return to pre pregnancy status six weeks postpartum. The aim of the study was to investigate the effect of dental caries among preterm postpartum women and it's relation to baby birth weight and salivary interleukin-6 (IL-6). Materials and methods: 66 postpartum women were examined, 33 preterm postpartum women (study group) and 33 full term postpartum women (control group). Dental caries was recorded using, decayed, missing and filled surfaces index, also assess the decayed lesion by severity. Salivary samples were taken from all subjects to estimate salivary IL-6 levels. Babie