Fractional calculus has paid much attention in recent years, because it plays an essential role in many fields of science and  engineering, where the study of stability theory of fractional differential equations emerges to be very important. In this paper, the stability of fractional order ordinary differential equations will be studied and introduced the backstepping method. The Lyapunov function  is easily found by this method. This method also gives a guarantee of stable solutions for the fractional order differential equations. Furthermore it gives asymptotically stable.

Abstract:-

The title of the thesis (TAQWA "Piety", TAWAKKUL "Trusting” AND NIYYAH "Intention" ARE AMONG THE FACTORS OF ADJUSTMENT) is related to the first legislative source of Islam, the Qur’an, and highlights the positive effects while adhering to the teachings of Islamic Sharia in terms of its importance in building the individual and thus society.

In this study, the researcher follows the objective approach, which includes collecting verses that refer to the issue of piety, trust and intention, and studying the verses objectively according to the sources, language books, ethics, and so on.

I sought to give each topic important headings, then study the topic and clarify it in general, based on narrations an

The  present   research   was  conducted   to  determine   the  effect  of Cadmium   Chlori de  on  the  t  stes  and  epididymis  of  white  mice  fed with  diffl rent  concentration     (75,  1 00 150  ppm)  of this hea  y metal for three,   ix and nine days. The r   ults showed  that cadm i um chloride caused   s  vera!  histopathalogical  change in  testes  and  epidid   mis in  luding deg  neration and cell necrosis  in addition  to the appearanc of  haemorrh

This research is an attempt to unveil the cover and unveil a matter that has become mysterious to those who came after Sibweh of the grammar scholars; It took place as a result of the work of the scribes.

Key components estimated in Acol total plant leaves and the results were as follows plant Acol humidity 72%

This paper is interested in comparing the performance of the traditional methods to estimate parameter of exponential distribution (Maximum Likelihood Estimator, Uniformly Minimum Variance Unbiased Estimator) and the Bayes Estimator in the case of data to meet the requirement of exponential distribution and in the case away from the distribution due to the presence of outliers (contaminated values). Through the employment of simulation (Monte Carlo method) and the adoption of the mean square error (MSE) as criterion of statistical comparison between the performance of the three estimators for different sample sizes ranged between small, medium and large        (n=5,10,25,50,100) and different cases (wit

The plant decorative arts field full of decorative Baltnoat from diversity in the design structure of vocabulary and whether units sepals, vase Aogsnah or written and what their catalog decorative hearts in Kadhimiya holy threshold of diversity in shapes and measurements and sizes.It is during the field visit of the researcher found that there are variations in the overall appearance and internal padding and this researcher has formulated the discussion by asking the following problem:(What is the diversity of designs decorative hearts in Kadhimiya holy threshold?)The importance of research in it:Research contributes to open the horizons of knowledge for researchers and scholars concerned with the teaching of the decorative arts, as well

     In this paper, suggested formula as well a conventional method for estimating the twoparameters (shape and scale) of the Generalized Rayleigh Distribution was proposed. For different sample sizes (small, medium, and large) and assumed several contrasts for the two parameters a percentile estimator was been used. Mean Square Error was implemented as an indicator of performance and comparisons of the performance have been carried out through data analysis and computer simulation between the suggested formulas versus the studied formula according to the applied indicator. It was observed from the results that the suggested method which was performed for the first time (as far as we know), had highly advantage than t

Abstract Planetary nebulae (PN) represents the short phase in the life of stars with masses (0.89-7) M☉. Several physical processes taking place during the red giant phase of low and intermediates-mass stars. These processes include :1) The regular (early ) wind and the envelope ejection, 2) The thermal pulses during Asymptotic Giant Branch (AGB ) phase. In this paper it is briefly discussed how such processes affect the mass range of Planetary Nebulae(PN) nuclei(core) and their evolution, and the PN life time, and fading time for the masses which adopted. The Synthetic model is adopted. The envelope mass of star (MeN ) and transition time (ttr) calculated respectively for the parameter (MeR =1.5,2, 3×10-3 M☉). Another time scale is o

The purpose of this study is to compare the influence of three teaching methods, as represented by problem-based learning (PBL), the PBL with lecture method, and the conventional teaching on undergraduate physics students' group work skills among bachelor’s degree physics students. In this study, the pre- and post-test were done and the instruments were administered to the students for data collection. The actual sample size comprises of 122 students, who were selected randomly from the physics department, college of education in iraq. Overall, the statistical results rejected null hypothesis of this study. Thus, using the PBL without or with lecture method enhances the skills of the group work among the bachelor’s degree physics studen