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%

The research addresses the importance of reading and writing for sura Al-alaq and Al-qalam as they represent the main sources for all the sciences as well as ethical values. The researcher seeks to define the educational and ethical values in these two texts which related to reading and writing. To do this, the author went through different relevant literature to show the similarities and related points between them, she also shows the significant of reading and writing and the learning and teaching worth to be consider. The result revealed that the both texts assert on the educational and ethical values, and the vital role of reading and writing.  

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

This search aim to measure Hardness for Epoxy resin and for unsaturated Polyester resin as base materials for composite Hybrid and the materials used is Hybrid fiber Carbon-Kevlar. The Hand Lay-up method was used to manufacture plates of Epoxy resin (EP) and unsaturated Polyester EP,UPE backed by Hybrid fiber (Carbon-Kevlar) and with small volume fraction 5,10 and 15 for every there are Layer of fibers (1,2 and 3). The hardness test was count for material EP, UPE resin and there composites and that we notice that the Hardness (HB) decreased with increase of temperatures.

In this research, the effect of adding two different types of reinforcing particles was investigated, which included: nano-zirconia (nano-ZrO₂) particles and micro-lignin particles that were added with different volume fractions of 0.5%, 1%, 1.5% and 2% on the mechanical properties of polymer composite materials. They were prepared in this research, as a complete prosthesis and partial denture base materials was prepared, by using cold cure poly methyl methacrylate (PMMA) resin matrix. The composite specimens in this research consist of two groups according to the types of reinforced particles, were prepared by using casting methods, type (Hand Lay-Up) method. The first group consists of PMMA resin reinforced by (nano-ZrO

The current study included a detail morphological study of all parts of the species Ipomoea carnea Jacq. (Convolvulaceae) cultivated in different gardens, the roots, stems, leaves, flowers and fruit were studied in detail, also the pollen grains were studied and there are photographs for all the parts were putted.