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On the Soft Stability of Soft Picard and Soft Mann Iteration Processes

      In this paper, we  introduce new concepts that relates to soft space based on   work that was previously presented by researchers in this regard. First we give  the definition of Soft Contraction Operator and some examples. After that we introduce the concepts of soft Picard iteration and soft Mann iteration processes. We also give  some examples to illustrate them.

    Many concepts in normed spaces have been generalized in soft normed spaces. One of the important concepts is the concept of stability of soft iteration in soft normed spaces. We discuss this concept by giving some lemmas that  are  used to prove some theorems about stability of soft iteration processes (with soft contraction operator)   with soft Picard iteration procedure as well as  soft Mann iteration procedure.

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Publication Date
Fri Jan 01 2016
Journal Name
International Journal Of Advanced Research
ON STABILITY AND THE BOUNDEDNESS OF THE ZERO SOLUTION OF FIFTH ORDER

This paper is illustrates the sufficient conditions of the uniformly asymptotically stable and the bounded of the zero solution of fifth order nonlinear differential equation with a variable delay τ(t)

Publication Date
Mon Oct 30 2023
Journal Name
Iraqi Journal Of Science
Application of the Variational Iteration Method for the time-fractional Kaup-Kupershmidt Equation and the Boussinesq-Burger equation

     The variational iteration method is used to deal with linear and nonlinear differential equations. The main characteristics of the method lie in its flexibility and ability to accurately and easily solve nonlinear equations. In this work, a general framework is presented for a variational iteration method for the analytical treatment of partial differential equations in fluid mechanics. The Caputo sense is used to describe fractional derivatives. The time-fractional Kaup-Kupershmidt (KK) equation is investigated, as it is the solution of the system of partial differential equations via the Boussinesq-Burger equation. By comparing the results that are obtained by the variational iteration method with those obtained by the two-dim

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Publication Date
Fri Jun 24 2022
Journal Name
Iraqi Journal Of Science
Crude Oil Spillage and the Impact of Drilling Processes on the Soil at Rumaila Oil Field- Southern Iraq

The demand on energy sources throughout the world have led to an increase in the production processes of crude oil which is considered to be the main source of energy, without considering the impact on the environment. The objective of this study is to evaluate the environmental impact of drilling processes and crude oil spillage on soil in the Rumaila oil field, Basra, Southern Iraq. An investigation was undertaken to determine the content of Polycyclic Aromatic Hydrocarbons (PAHs) and heavy metals in the soil. Ten soil samples were collected near oil wells and analyzed. The results showed a high concentration of PAHsin the soil, particularly (Acenaphthene, Fluorene, Anthracene, Fluoranthene and Pyrene) due to crude oil spillage. The he

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Publication Date
Sun Oct 27 2019
Journal Name
Iraqi Journal Of Science
The convergence of Iteration Scheme to Fixed Points in Modular Spaces

     The aim of this paper is to study the convergence of an iteration scheme for multi-valued mappings which defined on a subset of a complete convex real modular. There are two main results, in the first result, we show that the convergence with respect to a multi-valued contraction mapping to a fixed point. And, in the second result, we deal with two different schemes for two multivalued  mappings (one of them is a contraction and other has a fixed point) and then we show that the limit point of these two schemes is the same. Moreover, this limit will be the common fixed point the two mappings.

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Publication Date
Fri Jan 20 2023
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Study Strong Convergence and Acceleration of New Iteration Type Three – Step

The aim of this article, we define new iterative methods called three-step type in which Jungck resolvent CR-iteration and resolvent Jungck SP-iteration are discussed and study rate convergence and strong convergence in Banach space to reach the fixed point which is differentially solve of nonlinear equations. The studies also expanded around it to find the best solution for nonlinear operator equations in addition to the varying inequalities in Hilbert spaces and Banach spaces, as well as the use of these iterative methods to approximate the difference between algorithms and their images, where we examined the necessary conditions that guarantee the unity and existence of the solid point. Finally, the results show that resolvent CR-iter

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Publication Date
Sun May 26 2019
Journal Name
Iraqi Journal Of Science
Depositional Environment and Diagenesis processes impact on the carbonate rock quality: a case study, southeastern of Iraq

Deposition environment and diagenesis processes are very important factors which affect and control the reservoir properties.  The carbonate Mishrif Formation has been selected as a carbonate reservoir in selected wells from southeastern Iraq to understand the influence of the Deposition environment and diagenesis processes on the carbonate reservoir. A core examination of thin sections, shows that Mishrif Formation comprises of six depositional environments, these are: deep marine, lagoon, rudist biostrome, back shoal, and shallow open marine.  These environments have effect by many diagenetic processes, including dolomitization, dissolution, micritization, cementation, recrystallization and Stylolite, some of these processes

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Publication Date
Wed Aug 08 2012
Journal Name
Arabian Journal Of Geosciences
Chemical and physical control processes on the development of caves in the Injana Formation, Central Iraq

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Publication Date
Fri Mar 31 2017
Journal Name
Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)
Effect of Temperature on the Stability and Release Profile of Ibuprofen Microcapsules

The stability and releasing profile of 2:1 core: wall ratio ibuprofen microcapsules prepared by aqueous coacervation (gelatin and acacia polymers coat) and an organic coacervation methods (ethyl cellulose and sodium alginate polymers coat) in weight equivalent to 300mg drug, were studied using different storage temperatures 40°C, 50°C ,60°C and refrigerator temperature 4°C in an opened and closed container for three months (releasing profile) and four months (stability study).It was found that, these ibuprofen microcapsules were stable with expiration dates of 4.1 and 3.1 years for aqueous and an organic method respectively.Aqueous prepared ibuprofen microcapsules were found more stable than those microcapsules prepared by or

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Publication Date
Wed Nov 22 2017
Journal Name
Iraqi Journal Of Market Research And Consumer Protection
THE EFFECT OF FERMENTATION AND BAKING PROCESSES ON THE PHYATE DEGRADATION DURING THE PROCESS OF MANUFACTURING WHOLE WHEAT FLOUR BREAD.: THE EFFECT OF FERMENTATION AND BAKING PROCESSES ON THE PHYATE DEGRADATION DURING THE PROCESS OF MANUFACTURING WHOLE WHEAT FLOUR BREAD.

In this research, the influence of the fermentation treatments and baking in Iraqi’s flour type (Ibaa 99, Al-rashed, Tamus, Abu-grabe) and Turkish flour type (Muaamel) on phytic acid was investigated. In whole wheat flour, the phytic acid was (1500, 1290, 1450, 1230, 1440 ( mg/ 100 g flour respectively, and the inorganic phosphorous was (29.18, 25.15, 23.89, 20.85, 22.83) mg/100 g flour respectively. The dough prepared from flour with a higher phytic acid content also contained higher amount of phytic acid. During fermentation, degradation of phytic acid occurred. The cumulative loss of phytic acid after fermentation in all type of dough was ~ 23, 22, 34, 26 and 27% respectively،While increased of inorganic phosphorous occurred. The c

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Publication Date
Sun Oct 22 2023
Journal Name
Iraqi Journal Of Science
Variational Iteration Method for Solving Multi-Fractional Integro Differential Equations

In this paper, we present an approximate method for solving integro-differential equations of multi-fractional order by using the variational iteration method.
First, we derive the variational iteration formula related to the considered problem, then prove its convergence to the exact solution. Also we give some illustrative examples of linear and nonlinear equations.

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