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Search Results: 1 - 10 of 556096 matches for " Emad A.-B. Abdel-Salam "
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Solution of Nonlinear Space-Time Fractional Differential Equations Using the Fractional Riccati Expansion Method
Emad A.-B. Abdel-Salam,Eltayeb A. Yousif
Mathematical Problems in Engineering , 2013, DOI: 10.1155/2013/846283
Abstract: The fractional Riccati expansion method is proposed to solve fractional differential equations. To illustrate the effectiveness of the method, space-time fractional Korteweg-de Vries equation, regularized long-wave equation, Boussinesq equation, and Klein-Gordon equation are considered. As a result, abundant types of exact analytical solutions are obtained. These solutions include generalized trigonometric and hyperbolic functions solutions which may be useful for further understanding of the mechanisms of the complicated nonlinear physical phenomena and fractional differential equations. Among these solutions, some are found for the first time. The periodic and kink solutions are founded as special case. 1. Introduction During recent years, fractional differential equations (FDEs) have attracted much attention due to their numerous applications in areas of physics, biology, and engineering [1–3]. Many important phenomena in non-Brownian motion, signal processing, systems identification, control problem, viscoelastic materials, polymers, and other areas of science are well described by fractional differential equation [4–7]. The most important advantage of using FDEs is their nonlocal property, which means that the next state of a system depends not only upon its current state but also upon all of its historical states [8, 9]. Recently, the fractional functional analysis has been investigated by many researchers [10, 11]. For example, the properties and theorems of Yang-Laplace transforms and Yang-Fourier transforms [12] and their applications to the fractional ordinary differential equations, fractional ordinary differential systems, and fractional partial differential equations have been discussed. Many powerful methods have been established and developed to obtain numerical and analytical solutions of FDEs, such as finite difference method [13], finite element method [14], Adomian decomposition method [15, 16], differential transform method [17], variational iteration method [18–20], homotopy perturbation method [21, 22], the fractional sub-equation method [23], and generalized fractional subequation method [24]. How to extend the existing methods to solve other FDEs is still an interesting and important research problem. Thanks to the efforts of many researchers, several FDEs have been investigated and solved, such as the impulsive fractional differential equations [25], space- and time-fractional advection-dispersion equation [26–28], fractional generalized Burgers’ fluid [29], and fractional heat- and wave-like equations [30], and so forth. The
Generalized Jacobi Elliptic Function Solution to a Class of Nonlinear Schr?dinger-Type Equations
Zeid I. A. Al-Muhiameed,Emad A.-B. Abdel-Salam
Mathematical Problems in Engineering , 2011, DOI: 10.1155/2011/575679
Abstract: With the help of the generalized Jacobi elliptic function, an improved Jacobi elliptic function method is used to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way. A class of nonlinear Schrödinger-type equations including the generalized Zakharov system, the Rangwala-Rao equation, and the Chen-Lee-Lin equation are investigated, and the exact solutions are derived with the aid of the homogenous balance principle.
Generalized Hyperbolic Function Solution to a Class of Nonlinear Schr?dinger-Type Equations
Zeid I. A. Al-Muhiameed,Emad A.-B. Abdel-Salam
Journal of Applied Mathematics , 2012, DOI: 10.1155/2012/265348
Abstract: With the help of the generalized hyperbolic function, the subsidiary ordinary differential equation method is improved and proposed to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way. A class of nonlinear Schr?dinger-type equations including the generalized Zakharov system, the Rangwala-Rao equation, and the Chen-Lee-Liu equation are investigated and the exact solutions are derived with the aid of the homogenous balance principle and generalized hyperbolic functions. We study the effect of the generalized hyperbolic function parameters p and q in the obtained solutions by using the computer simulation.
Solution of nonlinear space time fractional differential equations via the fractional projective Riccati expansion method
Emad A-B. Abdel-Salam,Eltayeb A. Yousif,Gmal F. Hassan
Physics , 2015,
Abstract: In this paper, the fractional projective Riccati expansion method is proposed to solve fractional differential equations. To illustrate the effectiveness of the method, we discuss the space-time fractional Burgers equation, the space-time fractional mKdV equation and time fractional biological population model. The solutions are expressed in terms of fractional hyperbolic functions. These solutions are useful to understand the mechanisms of the complicated nonlinear physical phenomena and fractional differential equations. Among these solutions, some are found for the first time. The fractal index for the obtained results is equal to one. Counter examples to compute the fractal index are introduced in appendix.
X-Ray Spectral Study of AGN Sources Content in Some Deep Extragalactic XMM-Newton Fields
M. A. Hassan,B. A. Korany,R. Misra,I. A. M. Issa,M. K. Ahmed,F. A. Abdel-Salam
Physics , 2011, DOI: 10.1007/s10509-012-0999-4
Abstract: We undertake a spectral study of a sample of bright X-ray sources taken from six XMM-Newton fields at high galactic latitudes, where AGN are the most populous class. These six fields were chosen such that the observation had an exposure time more than 60 ksec, had data from the EPIC-pn detector in the full-Frame mode and lying at high galactic latitude $|b| > 25^o$ . The analysis started by fitting the spectra of all sources with an absorbed power-law model, and then we fitted all the spectra with an absorbed power-law with a low energy black-body component model.The sources for which we added a black body gave an F-test probability of 0.01 or less (i.e. at 99% confidence level), were recognized as sources that display soft excess. We perform a comparative analysis of soft excess spectral parameters with respect to the underlying power-law one for sources that satisfy this criterion. Those sources, that do not show evidence for a soft excess, based on the F-test probability at a 99% confidence level, were also fitted with the absorbed power-law with a low energy black-body component model with the black-body temperature fixed at 0.1 and 0.2 keV. We establish upper limits on the soft excess flux for those sources at these two temperatures. Finally we have made use of Aladdin interactive sky atlas and matching with NASA/IPAC Extragalactic Database (NED) to identify the X-ray sources in our sample. For those sources which are identified in the NED catalogue, we make a comparative study of the soft excess phenomenon for different types of systems.
Biological and Life Table Studies of Harmonia axyridis Pallas (Coleoptera: Coccinellidae) Reared on the Factitious Prey, Sitotroga cerealella Olivier (Lepidoptera: Gelechiidae)
A. H. Abdel-Salam
Pakistan Journal of Biological Sciences , 2000,
Abstract: The developmental times of immature stages, survival percent, longevity, fecundity, and life table parameters of Harmonia axyridis were studied under laboratory conditions by feeding on fresh and frozen grain moth eggs (GME), Sitotroga cerealella. The effect of crowding adults on fecundity of females was also determined. The total developmental time from egg hatching to adult eclosion ranged from 18.89 0.32 to 22.5 0.21 days on fresh and frozen GME, respectively. Survival percent from egg hatching to adult emergence was differed significantly when the predator fed on the two diets of GME. Also, pupal and adult weights were affected by feeding on fresh and on frozen GME. There were no significant differences in longevity of females, while there were significant variations in fecundity of females and longevity of males. The calculated values of T, DT, Ro, rm, and erm were high by feeding on fresh GME. Morever, rates of survivorship (Lx), and maximum oviposition per female per day (Mx) were high when the predator reared on fresh than on frozen GME. Crowding conditions of predator adults affected the fecundity of females due to egg cannibalism by both males and females of the predator.
Nuclear Factor-Kappa B and Other Oxidative Stress Biomarkers in Serum of Autistic Children  [PDF]
Omar M. E. Abdel-Salam, Eman R. Youness, Nadia A. Mohammed, Walaa A. Abu Elhamed
Open Journal of Molecular and Integrative Physiology (OJMIP) , 2015, DOI: 10.4236/ojmip.2015.51002
Abstract: The aim of the present study was to investigate the status of oxidative stress in the serum of children affected with autism spectrum disorder. Twenty autistic children aged 3 to 12 years, were gender and age-matched with 20 typically developing children. Changes in the levels of the redox-sensing transcription factor nuclear factor-kappa B (NF-κB) was measured in serum of autistic children and controls. Other oxidative stress biomarkers such as malondialdehyde, reduced glutathione, total antioxidant capacity, catalase activity, and paraoxonase 1 activity were determined in serum as well. Significant increase was observed in serum NF-κB of autistic children compared to that in controls (by 138.6%). There was also marked increase in malondialdehyde level by 87.3% in autistic patients. Meanwhile, there were significant decreases in reduced glutathione (by 24%), catalase activity (by 40.8%), paraoxonase 1 activity (by 36.6%), and total antioxidant capacity (by 36.5%) compared to the control group. These data clearly demonstrate increased oxidative stress in serum of autistic children and suggest that the NF-κB signaling pathway is activated in autism, possibly due to increased oxidative burden.
Periodate Oxidation of a Ternary Complex of Nitrilotriacetatochromium(III) Involving ?-Alanine as Co-Ligand  [PDF]
Hassan A. Ewais, Ahmed H. Abdel-Salam, Amal S. Basaleh, Mohamed A. Habib
Open Journal of Inorganic Chemistry (OJIC) , 2018, DOI: 10.4236/ojic.2018.84008
Abstract: The kinetics of the periodate oxidation of chromium(III)-complex, [CrIII(NTA)(Ala)(H2O)]-(NTA = Nitrilotriacetate and Ala = ß-alanine) to Cr(VI) have been carried out for the temperature range 15°C - 35°C under pseudo-first order conditions, \"\">>?[complex]. Reaction obeyed first order dependence with respect to \"\" and [Cr(III)], and the rate of reaction increases with increasing of pH for the range 3.40 - 4.45. Experimentally, the mechanism of this reaction is found to be consistent with the rate law in which the hydroxo species, [CrIII(NTA)(Ala)(OH)]2- is considerably much more reactive than their conjugate acid. ΔH* and ΔS* have been calculated. It is proposed that electron transfer occurs through an inner-sphere mechanism via coordination of \"\"to chromium(III).
Functional Foods: Hopefulness to Good Health
A.M. Abdel-Salam
American Journal of Food Technology , 2010,
Abstract: Functional foods will be hopeful to good health in the future because it have been classified either as preventive or therapeutic purpose and used alone or mixed together for prevention some of certain diseases. Therefore, functional foods help the rights of protection from many modern diseases that we see today. However, increasing and varieties of the functional foods are a challenging perspective for promotion and formulation of healthy food and which can be useful for enhancements of the human health.
A Validated High-Performance Thin-Layer Chromatography (Hptlc) Method for the Quantitative Determination of Tricin in Two Spergularia Species  [PDF]
Omnia Gamal El-Dien, Eman Shawky, Amal H. Aly, Rokia M. Abdallah, Nabil A. Abdel-Salam
American Journal of Analytical Chemistry (AJAC) , 2013, DOI: 10.4236/ajac.2013.411080
Abstract:

A simple, sensitive, precise and robust high-performance thin-layer chromatographic (HPTLC) method for analysis of tricin has been developed and validated for the determination of tricin in genus Spergularia. Analysis of tricin was performed on pre-coated TLC aluminum plates with silica gel as the stationary phase. Linear ascending development was carried out in double twin trough glass chamber saturated with a mobile phase consisting of chloroform: methanol (37:3 v/v). Spectro-densitometric scanning was performed by TLC scanner III (CAMAG) in absorbance mode at the wavelength of 270 nm. The system was found to give compact spots for tricin (Rf value of 0.34 ± 0.04). The linear regression analysis data for the calibration plots showed a good linear relationship with r2 = 0.9981 in the concentration range 2-15 μl with respect to peak area. According to the International Conference on Harmonization (ICH) guidelines, the method was validated for precision, recovery, and robustness. The tricin content quantified from Spergularia marina and S. daiandra was found to be 0.398 mg/100g and 1.642 mg/100g fresh weight, respectively. Statistical analysis of the data showed that the method is

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