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.

Abiotic stress-induced genes may lead to understand the response of plants and adaptability to salinity and drought stresses. Differential display reverse transcriptase – polymerase chain reaction (DDRT-PCR) was used to investigate the differences in gene expression between drought- and salinity-stressed plantlets of Ruta graveolens. Direct and stepwise exposures to drought- or salt-responsive genes were screened in R. graveolens plantlets using the DDRT technique. Gene expression was investigated both in the control and in the salt or drought-stressed plantlets and differential banding patterns with different molecular sizes were observed using the primers OPA-01 (646,770 and 983 pb), OPA-08 (593 and 988 pb), OPA-11 (674 and 831 pb

In this paper, the computational method (CM) based on the standard polynomials has been implemented to solve some nonlinear differential equations arising in engineering and applied sciences. Moreover, novel computational methods have been developed in this study by orthogonal base functions, namely Hermite, Legendre, and Bernstein polynomials. The nonlinear problem is successfully converted into a nonlinear algebraic system of equations, which are then solved by Mathematica®12. The developed computational methods (D-CMs) have been applied to solve three applications involving well-known nonlinear problems: the Darcy-Brinkman-Forchheimer equation, the Blasius equation, and the Falkner-Skan equation, and a comparison between the met

Represents light a sovereign and importance in cinematography element of what possessed the physical characteristics make it a sharp image detail or opaque, or any other form as he wants the director, Valdu away from the main function, which emerged with the beginnings of cinema, any access to endanger the proper and good, the Alachtgalat dramatic and psychological are deepened performance lighting and functioned in adjacent with the shadows, all the two complement each other, which affects the image details or even the ability to express their personal depths or the social and psychological same place, and this prompted the researcher to determine the search in the following address: (employing lighting to express their personal duplica

The researcher chose her research which is imprinted ( the mechanism of employing the numbered personality in structuring scientific imaginary movies) because it’s found in modern employing of the numbered personalities of the movies that are designed by computers which made the directors and the producers to exploit these numbered development technologies in designing numbered personalities, in order to make them heroes instead of the actual actors in the cinema scene, it’s divided the research to five chapters, the first chapter, the methodical fine which includes, the problem of the research, the aim of the research includes, the importance of the research and it’s details, and the chapter concludes limiting the important terms,

Silymarin (SM) is a plant extract obtained from Silybum marianum( milk thistle) . It is class II type drug according to  Biopharmaceutics Classification System with low bioavailability due to its low solubility.

Micro/nanonization during crystallization, surface modification and crystal structure modification may improve the dissolution rate of poorly water-soluble drugs.

The aim of this study was to increase the water solubility and dissolution rate of SM by in-situ micronization using solvent change either by stirring or ultrasonic method. Stabilizers like Gelatin, PVP-K30, HPMC15, Pulullan were used to stabilize the prepared ultrafine crystals. Effect of type and concentration of hydrophilic polymer, solv

Background: Sliding mechanics is widely used during orthodontic treatment. One of the disadvantages of this mechanics is the friction generated at the bracket/archwire interface, which may reduce the amount of desired orthodontic movement obtained. The aim of the present in vitro study was to evaluate and compare the static frictional forces produced by two passive self-ligating brackets stainless-steel and hybrid and two conventional brackets stainless-steel and monocrystal ligated with stainless-steel ligature wire at two degrees of torque(zero and twenty) under dry condition. Materials and method: One hundred and sixty brackets were used in this study divided into four groups each group consisted of forty brackets these are: Two self-li